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Finding the Fourth Proportional to 3,294.18, 4,943.10 and 1,346.24

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Solution

The fourth proportional to 3,294.18, 4,943.10 and 1,346.24 is: 2,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.18 : 4,943.10 = 1,346.24 : x
  2. Step 2: Convert to fraction form
    3,294.18/4,943.10 = 1,346.24/x
  3. Step 3: Cross multiply
    3,294.18x = 4,943.10 × 1,346.24
  4. Step 4: Simplify right side
    3,294.18x = 6,654,598.94
  5. Step 5: Solve for x
    x = 6,654,598.94/3,294.18
  6. Step 6: Final answer
    x = 2,020.11

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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.