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Finding the Fourth Proportional to 2,706.42, 4,061.68 and 1,063.38

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Solution

The fourth proportional to 2,706.42, 4,061.68 and 1,063.38 is: 1,595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.42 : 4,061.68 = 1,063.38 : x
  2. Step 2: Convert to fraction form
    2,706.42/4,061.68 = 1,063.38/x
  3. Step 3: Cross multiply
    2,706.42x = 4,061.68 × 1,063.38
  4. Step 4: Simplify right side
    2,706.42x = 4,319,109.28
  5. Step 5: Solve for x
    x = 4,319,109.28/2,706.42
  6. Step 6: Final answer
    x = 1,595.88

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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.