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Finding the Fourth Proportional to 2,292.90, 3,439.29 and 649.41

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Solution

The fourth proportional to 2,292.90, 3,439.29 and 649.41 is: 974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.90 : 3,439.29 = 649.41 : x
  2. Step 2: Convert to fraction form
    2,292.90/3,439.29 = 649.41/x
  3. Step 3: Cross multiply
    2,292.90x = 3,439.29 × 649.41
  4. Step 4: Simplify right side
    2,292.90x = 2,233,509.32
  5. Step 5: Solve for x
    x = 2,233,509.32/2,292.90
  6. Step 6: Final answer
    x = 974.10

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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.