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Finding the Fourth Proportional to 1,686.66, 2,528.18 and 1,138.70

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Solution

The fourth proportional to 1,686.66, 2,528.18 and 1,138.70 is: 1,706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.66 : 2,528.18 = 1,138.70 : x
  2. Step 2: Convert to fraction form
    1,686.66/2,528.18 = 1,138.70/x
  3. Step 3: Cross multiply
    1,686.66x = 2,528.18 × 1,138.70
  4. Step 4: Simplify right side
    1,686.66x = 2,878,838.57
  5. Step 5: Solve for x
    x = 2,878,838.57/1,686.66
  6. Step 6: Final answer
    x = 1,706.83

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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.