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Finding the Fourth Proportional to 2,472.64, 3,411 and 1,540.48

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Solution

The fourth proportional to 2,472.64, 3,411 and 1,540.48 is: 2,125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.64 : 3,411 = 1,540.48 : x
  2. Step 2: Convert to fraction form
    2,472.64/3,411 = 1,540.48/x
  3. Step 3: Cross multiply
    2,472.64x = 3,411 × 1,540.48
  4. Step 4: Simplify right side
    2,472.64x = 5,254,577.28
  5. Step 5: Solve for x
    x = 5,254,577.28/2,472.64
  6. Step 6: Final answer
    x = 2,125.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.