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Finding the Fourth Proportional to 2,292.82, 3,439.26 and 561.46

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Solution

The fourth proportional to 2,292.82, 3,439.26 and 561.46 is: 842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.82 : 3,439.26 = 561.46 : x
  2. Step 2: Convert to fraction form
    2,292.82/3,439.26 = 561.46/x
  3. Step 3: Cross multiply
    2,292.82x = 3,439.26 × 561.46
  4. Step 4: Simplify right side
    2,292.82x = 1,931,006.92
  5. Step 5: Solve for x
    x = 1,931,006.92/2,292.82
  6. Step 6: Final answer
    x = 842.20

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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.