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Finding the Fourth Proportional to 1,706.16, 2,353.35 and 1,042.17

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Solution

The fourth proportional to 1,706.16, 2,353.35 and 1,042.17 is: 1,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.16 : 2,353.35 = 1,042.17 : x
  2. Step 2: Convert to fraction form
    1,706.16/2,353.35 = 1,042.17/x
  3. Step 3: Cross multiply
    1,706.16x = 2,353.35 × 1,042.17
  4. Step 4: Simplify right side
    1,706.16x = 2,452,590.77
  5. Step 5: Solve for x
    x = 2,452,590.77/1,706.16
  6. Step 6: Final answer
    x = 1,437.49

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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.