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Finding the Fourth Proportional to 2,570.81, 3,856.19 and 623.00

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Solution

The fourth proportional to 2,570.81, 3,856.19 and 623.00 is: 934.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.81 : 3,856.19 = 623.00 : x
  2. Step 2: Convert to fraction form
    2,570.81/3,856.19 = 623.00/x
  3. Step 3: Cross multiply
    2,570.81x = 3,856.19 × 623.00
  4. Step 4: Simplify right side
    2,570.81x = 2,402,383.97
  5. Step 5: Solve for x
    x = 2,402,383.97/2,570.81
  6. Step 6: Final answer
    x = 934.49

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.