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Finding the Fourth Proportional to 2,042.59, 3,064.17 and 810.12

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Solution

The fourth proportional to 2,042.59, 3,064.17 and 810.12 is: 1,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.59 : 3,064.17 = 810.12 : x
  2. Step 2: Convert to fraction form
    2,042.59/3,064.17 = 810.12/x
  3. Step 3: Cross multiply
    2,042.59x = 3,064.17 × 810.12
  4. Step 4: Simplify right side
    2,042.59x = 2,482,343.38
  5. Step 5: Solve for x
    x = 2,482,343.38/2,042.59
  6. Step 6: Final answer
    x = 1,215.29

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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.