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Finding the Fourth Proportional to 2,606.24, 3,915.24 and 1,513.28

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Solution

The fourth proportional to 2,606.24, 3,915.24 and 1,513.28 is: 2,273.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.24 : 3,915.24 = 1,513.28 : x
  2. Step 2: Convert to fraction form
    2,606.24/3,915.24 = 1,513.28/x
  3. Step 3: Cross multiply
    2,606.24x = 3,915.24 × 1,513.28
  4. Step 4: Simplify right side
    2,606.24x = 5,924,854.39
  5. Step 5: Solve for x
    x = 5,924,854.39/2,606.24
  6. Step 6: Final answer
    x = 2,273.33

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