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Finding the Fourth Proportional to 3,073.40, 4,611.90 and 1,125.80

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Solution

The fourth proportional to 3,073.40, 4,611.90 and 1,125.80 is: 1,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.40 : 4,611.90 = 1,125.80 : x
  2. Step 2: Convert to fraction form
    3,073.40/4,611.90 = 1,125.80/x
  3. Step 3: Cross multiply
    3,073.40x = 4,611.90 × 1,125.80
  4. Step 4: Simplify right side
    3,073.40x = 5,192,077.02
  5. Step 5: Solve for x
    x = 5,192,077.02/3,073.40
  6. Step 6: Final answer
    x = 1,689.36

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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.