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Finding the Fourth Proportional to 2,601.52, 3,902.24 and 653.74

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Solution

The fourth proportional to 2,601.52, 3,902.24 and 653.74 is: 980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.52 : 3,902.24 = 653.74 : x
  2. Step 2: Convert to fraction form
    2,601.52/3,902.24 = 653.74/x
  3. Step 3: Cross multiply
    2,601.52x = 3,902.24 × 653.74
  4. Step 4: Simplify right side
    2,601.52x = 2,551,042.26
  5. Step 5: Solve for x
    x = 2,551,042.26/2,601.52
  6. Step 6: Final answer
    x = 980.60

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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.