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Finding the Fourth Proportional to 2,585.06, 3,877.57 and 637.27

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Solution

The fourth proportional to 2,585.06, 3,877.57 and 637.27 is: 955.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.06 : 3,877.57 = 637.27 : x
  2. Step 2: Convert to fraction form
    2,585.06/3,877.57 = 637.27/x
  3. Step 3: Cross multiply
    2,585.06x = 3,877.57 × 637.27
  4. Step 4: Simplify right side
    2,585.06x = 2,471,050.14
  5. Step 5: Solve for x
    x = 2,471,050.14/2,585.06
  6. Step 6: Final answer
    x = 955.90

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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.