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Finding the Fourth Proportional to 1,429.90, 2,138.91 and 1,342.42

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Solution

The fourth proportional to 1,429.90, 2,138.91 and 1,342.42 is: 2,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.90 : 2,138.91 = 1,342.42 : x
  2. Step 2: Convert to fraction form
    1,429.90/2,138.91 = 1,342.42/x
  3. Step 3: Cross multiply
    1,429.90x = 2,138.91 × 1,342.42
  4. Step 4: Simplify right side
    1,429.90x = 2,871,304.87
  5. Step 5: Solve for x
    x = 2,871,304.87/1,429.90
  6. Step 6: Final answer
    x = 2,008.05

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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.