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Finding the Fourth Proportional to 2,689.18, 4,034.28 and 934.11

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Solution

The fourth proportional to 2,689.18, 4,034.28 and 934.11 is: 1,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.18 : 4,034.28 = 934.11 : x
  2. Step 2: Convert to fraction form
    2,689.18/4,034.28 = 934.11/x
  3. Step 3: Cross multiply
    2,689.18x = 4,034.28 × 934.11
  4. Step 4: Simplify right side
    2,689.18x = 3,768,456.62
  5. Step 5: Solve for x
    x = 3,768,456.62/2,689.18
  6. Step 6: Final answer
    x = 1,401.34

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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.