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Finding the Fourth Proportional to 2,085.56, 3,127.40 and 624.40

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Solution

The fourth proportional to 2,085.56, 3,127.40 and 624.40 is: 936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.56 : 3,127.40 = 624.40 : x
  2. Step 2: Convert to fraction form
    2,085.56/3,127.40 = 624.40/x
  3. Step 3: Cross multiply
    2,085.56x = 3,127.40 × 624.40
  4. Step 4: Simplify right side
    2,085.56x = 1,952,748.56
  5. Step 5: Solve for x
    x = 1,952,748.56/2,085.56
  6. Step 6: Final answer
    x = 936.32

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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.