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Finding the Fourth Proportional to 2,686.52, 3,680.61 and 2,582.84

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Solution

The fourth proportional to 2,686.52, 3,680.61 and 2,582.84 is: 3,538.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.52 : 3,680.61 = 2,582.84 : x
  2. Step 2: Convert to fraction form
    2,686.52/3,680.61 = 2,582.84/x
  3. Step 3: Cross multiply
    2,686.52x = 3,680.61 × 2,582.84
  4. Step 4: Simplify right side
    2,686.52x = 9,506,426.73
  5. Step 5: Solve for x
    x = 9,506,426.73/2,686.52
  6. Step 6: Final answer
    x = 3,538.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.