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Finding the Fourth Proportional to 1,324.70, 1,987.05 and 1,142.30

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Solution

The fourth proportional to 1,324.70, 1,987.05 and 1,142.30 is: 1,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.70 : 1,987.05 = 1,142.30 : x
  2. Step 2: Convert to fraction form
    1,324.70/1,987.05 = 1,142.30/x
  3. Step 3: Cross multiply
    1,324.70x = 1,987.05 × 1,142.30
  4. Step 4: Simplify right side
    1,324.70x = 2,269,807.22
  5. Step 5: Solve for x
    x = 2,269,807.22/1,324.70
  6. Step 6: Final answer
    x = 1,713.45

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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.