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Finding the Fourth Proportional to 1,686.18, 2,528.94 and 590.85

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Solution

The fourth proportional to 1,686.18, 2,528.94 and 590.85 is: 886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.18 : 2,528.94 = 590.85 : x
  2. Step 2: Convert to fraction form
    1,686.18/2,528.94 = 590.85/x
  3. Step 3: Cross multiply
    1,686.18x = 2,528.94 × 590.85
  4. Step 4: Simplify right side
    1,686.18x = 1,494,224.20
  5. Step 5: Solve for x
    x = 1,494,224.20/1,686.18
  6. Step 6: Final answer
    x = 886.16

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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.