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Finding the Fourth Proportional to 2,124.85, 3,189.30 and 1,029.93

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Solution

The fourth proportional to 2,124.85, 3,189.30 and 1,029.93 is: 1,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.85 : 3,189.30 = 1,029.93 : x
  2. Step 2: Convert to fraction form
    2,124.85/3,189.30 = 1,029.93/x
  3. Step 3: Cross multiply
    2,124.85x = 3,189.30 × 1,029.93
  4. Step 4: Simplify right side
    2,124.85x = 3,284,755.75
  5. Step 5: Solve for x
    x = 3,284,755.75/2,124.85
  6. Step 6: Final answer
    x = 1,545.88

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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.