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Finding the Fourth Proportional to 1,705.50, 2,353.86 and 1,042.74

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Solution

The fourth proportional to 1,705.50, 2,353.86 and 1,042.74 is: 1,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.50 : 2,353.86 = 1,042.74 : x
  2. Step 2: Convert to fraction form
    1,705.50/2,353.86 = 1,042.74/x
  3. Step 3: Cross multiply
    1,705.50x = 2,353.86 × 1,042.74
  4. Step 4: Simplify right side
    1,705.50x = 2,454,463.98
  5. Step 5: Solve for x
    x = 2,454,463.98/1,705.50
  6. Step 6: Final answer
    x = 1,439.15

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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.