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Finding the Fourth Proportional to 2,472.91, 3,412.66 and 1,353.83

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Solution

The fourth proportional to 2,472.91, 3,412.66 and 1,353.83 is: 1,868.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.91 : 3,412.66 = 1,353.83 : x
  2. Step 2: Convert to fraction form
    2,472.91/3,412.66 = 1,353.83/x
  3. Step 3: Cross multiply
    2,472.91x = 3,412.66 × 1,353.83
  4. Step 4: Simplify right side
    2,472.91x = 4,620,152.15
  5. Step 5: Solve for x
    x = 4,620,152.15/2,472.91
  6. Step 6: Final answer
    x = 1,868.31

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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.