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Finding the Fourth Proportional to 2,516.72, 3,472.71 and 1,468.58

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Solution

The fourth proportional to 2,516.72, 3,472.71 and 1,468.58 is: 2,026.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.72 : 3,472.71 = 1,468.58 : x
  2. Step 2: Convert to fraction form
    2,516.72/3,472.71 = 1,468.58/x
  3. Step 3: Cross multiply
    2,516.72x = 3,472.71 × 1,468.58
  4. Step 4: Simplify right side
    2,516.72x = 5,099,952.45
  5. Step 5: Solve for x
    x = 5,099,952.45/2,516.72
  6. Step 6: Final answer
    x = 2,026.43

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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.