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Finding the Fourth Proportional to 1,354.50, 1,864.14 and 1,073.83

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Solution

The fourth proportional to 1,354.50, 1,864.14 and 1,073.83 is: 1,477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.50 : 1,864.14 = 1,073.83 : x
  2. Step 2: Convert to fraction form
    1,354.50/1,864.14 = 1,073.83/x
  3. Step 3: Cross multiply
    1,354.50x = 1,864.14 × 1,073.83
  4. Step 4: Simplify right side
    1,354.50x = 2,001,769.46
  5. Step 5: Solve for x
    x = 2,001,769.46/1,354.50
  6. Step 6: Final answer
    x = 1,477.87

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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.