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Finding the Fourth Proportional to 2,042.10, 3,061.43 and 886.98

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Solution

The fourth proportional to 2,042.10, 3,061.43 and 886.98 is: 1,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.10 : 3,061.43 = 886.98 : x
  2. Step 2: Convert to fraction form
    2,042.10/3,061.43 = 886.98/x
  3. Step 3: Cross multiply
    2,042.10x = 3,061.43 × 886.98
  4. Step 4: Simplify right side
    2,042.10x = 2,715,427.18
  5. Step 5: Solve for x
    x = 2,715,427.18/2,042.10
  6. Step 6: Final answer
    x = 1,329.72

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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.