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Finding the Fourth Proportional to 1,239.46, 1,862.38 and 934.19

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Solution

The fourth proportional to 1,239.46, 1,862.38 and 934.19 is: 1,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.46 : 1,862.38 = 934.19 : x
  2. Step 2: Convert to fraction form
    1,239.46/1,862.38 = 934.19/x
  3. Step 3: Cross multiply
    1,239.46x = 1,862.38 × 934.19
  4. Step 4: Simplify right side
    1,239.46x = 1,739,816.77
  5. Step 5: Solve for x
    x = 1,739,816.77/1,239.46
  6. Step 6: Final answer
    x = 1,403.69

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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.