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Finding the Fourth Proportional to 2,293.13, 3,439.61 and 649.67

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Solution

The fourth proportional to 2,293.13, 3,439.61 and 649.67 is: 974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.13 : 3,439.61 = 649.67 : x
  2. Step 2: Convert to fraction form
    2,293.13/3,439.61 = 649.67/x
  3. Step 3: Cross multiply
    2,293.13x = 3,439.61 × 649.67
  4. Step 4: Simplify right side
    2,293.13x = 2,234,590.98
  5. Step 5: Solve for x
    x = 2,234,590.98/2,293.13
  6. Step 6: Final answer
    x = 974.47

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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.