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Finding the Fourth Proportional to 1,686.83, 2,527.20 and 1,585.17

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Solution

The fourth proportional to 1,686.83, 2,527.20 and 1,585.17 is: 2,374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.83 : 2,527.20 = 1,585.17 : x
  2. Step 2: Convert to fraction form
    1,686.83/2,527.20 = 1,585.17/x
  3. Step 3: Cross multiply
    1,686.83x = 2,527.20 × 1,585.17
  4. Step 4: Simplify right side
    1,686.83x = 4,006,041.62
  5. Step 5: Solve for x
    x = 4,006,041.62/1,686.83
  6. Step 6: Final answer
    x = 2,374.90

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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.