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Finding the Fourth Proportional to 1,532.38, 2,298.84 and 667.30

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Solution

The fourth proportional to 1,532.38, 2,298.84 and 667.30 is: 1,001.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.38 : 2,298.84 = 667.30 : x
  2. Step 2: Convert to fraction form
    1,532.38/2,298.84 = 667.30/x
  3. Step 3: Cross multiply
    1,532.38x = 2,298.84 × 667.30
  4. Step 4: Simplify right side
    1,532.38x = 1,534,015.93
  5. Step 5: Solve for x
    x = 1,534,015.93/1,532.38
  6. Step 6: Final answer
    x = 1,001.07

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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.