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Finding the Fourth Proportional to 1,667.75, 2,301.68 and 1,387.49

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Solution

The fourth proportional to 1,667.75, 2,301.68 and 1,387.49 is: 1,914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.75 : 2,301.68 = 1,387.49 : x
  2. Step 2: Convert to fraction form
    1,667.75/2,301.68 = 1,387.49/x
  3. Step 3: Cross multiply
    1,667.75x = 2,301.68 × 1,387.49
  4. Step 4: Simplify right side
    1,667.75x = 3,193,549.94
  5. Step 5: Solve for x
    x = 3,193,549.94/1,667.75
  6. Step 6: Final answer
    x = 1,914.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.