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Finding the Fourth Proportional to 1,667.62, 2,502.51 and 743.74

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Solution

The fourth proportional to 1,667.62, 2,502.51 and 743.74 is: 1,116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.62 : 2,502.51 = 743.74 : x
  2. Step 2: Convert to fraction form
    1,667.62/2,502.51 = 743.74/x
  3. Step 3: Cross multiply
    1,667.62x = 2,502.51 × 743.74
  4. Step 4: Simplify right side
    1,667.62x = 1,861,216.79
  5. Step 5: Solve for x
    x = 1,861,216.79/1,667.62
  6. Step 6: Final answer
    x = 1,116.09

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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.