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Finding the Fourth Proportional to 1,489.83, 2,233.15 and 942.17

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Solution

The fourth proportional to 1,489.83, 2,233.15 and 942.17 is: 1,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.83 : 2,233.15 = 942.17 : x
  2. Step 2: Convert to fraction form
    1,489.83/2,233.15 = 942.17/x
  3. Step 3: Cross multiply
    1,489.83x = 2,233.15 × 942.17
  4. Step 4: Simplify right side
    1,489.83x = 2,104,006.94
  5. Step 5: Solve for x
    x = 2,104,006.94/1,489.83
  6. Step 6: Final answer
    x = 1,412.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.