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Finding the Fourth Proportional to 2,468.43, 3,404.84 and 1,472.94

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Solution

The fourth proportional to 2,468.43, 3,404.84 and 1,472.94 is: 2,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.43 : 3,404.84 = 1,472.94 : x
  2. Step 2: Convert to fraction form
    2,468.43/3,404.84 = 1,472.94/x
  3. Step 3: Cross multiply
    2,468.43x = 3,404.84 × 1,472.94
  4. Step 4: Simplify right side
    2,468.43x = 5,015,117.66
  5. Step 5: Solve for x
    x = 5,015,117.66/2,468.43
  6. Step 6: Final answer
    x = 2,031.70

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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.