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Finding the Fourth Proportional to 2,780.59, 4,171.97 and 1,685.74

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Solution

The fourth proportional to 2,780.59, 4,171.97 and 1,685.74 is: 2,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.59 : 4,171.97 = 1,685.74 : x
  2. Step 2: Convert to fraction form
    2,780.59/4,171.97 = 1,685.74/x
  3. Step 3: Cross multiply
    2,780.59x = 4,171.97 × 1,685.74
  4. Step 4: Simplify right side
    2,780.59x = 7,032,856.71
  5. Step 5: Solve for x
    x = 7,032,856.71/2,780.59
  6. Step 6: Final answer
    x = 2,529.27

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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.