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Finding the Fourth Proportional to 3,042.03, 4,562.43 and 850.17

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Solution

The fourth proportional to 3,042.03, 4,562.43 and 850.17 is: 1,275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.03 : 4,562.43 = 850.17 : x
  2. Step 2: Convert to fraction form
    3,042.03/4,562.43 = 850.17/x
  3. Step 3: Cross multiply
    3,042.03x = 4,562.43 × 850.17
  4. Step 4: Simplify right side
    3,042.03x = 3,878,841.11
  5. Step 5: Solve for x
    x = 3,878,841.11/3,042.03
  6. Step 6: Final answer
    x = 1,275.08

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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.