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Finding the Fourth Proportional to 1,667.42, 2,501.13 and 801.53

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Solution

The fourth proportional to 1,667.42, 2,501.13 and 801.53 is: 1,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.42 : 2,501.13 = 801.53 : x
  2. Step 2: Convert to fraction form
    1,667.42/2,501.13 = 801.53/x
  3. Step 3: Cross multiply
    1,667.42x = 2,501.13 × 801.53
  4. Step 4: Simplify right side
    1,667.42x = 2,004,730.73
  5. Step 5: Solve for x
    x = 2,004,730.73/1,667.42
  6. Step 6: Final answer
    x = 1,202.30

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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.