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Finding the Fourth Proportional to 1,667.39, 2,501.18 and 743.02

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Solution

The fourth proportional to 1,667.39, 2,501.18 and 743.02 is: 1,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.39 : 2,501.18 = 743.02 : x
  2. Step 2: Convert to fraction form
    1,667.39/2,501.18 = 743.02/x
  3. Step 3: Cross multiply
    1,667.39x = 2,501.18 × 743.02
  4. Step 4: Simplify right side
    1,667.39x = 1,858,410.54
  5. Step 5: Solve for x
    x = 1,858,410.54/1,667.39
  6. Step 6: Final answer
    x = 1,114.56

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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.