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Finding the Fourth Proportional to 1,780.62, 2,667.42 and 1,468.71

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Solution

The fourth proportional to 1,780.62, 2,667.42 and 1,468.71 is: 2,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.62 : 2,667.42 = 1,468.71 : x
  2. Step 2: Convert to fraction form
    1,780.62/2,667.42 = 1,468.71/x
  3. Step 3: Cross multiply
    1,780.62x = 2,667.42 × 1,468.71
  4. Step 4: Simplify right side
    1,780.62x = 3,917,656.86
  5. Step 5: Solve for x
    x = 3,917,656.86/1,780.62
  6. Step 6: Final answer
    x = 2,200.16

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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.