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Finding the Fourth Proportional to 2,292.76, 3,439.16 and 561.39

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Solution

The fourth proportional to 2,292.76, 3,439.16 and 561.39 is: 842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.76 : 3,439.16 = 561.39 : x
  2. Step 2: Convert to fraction form
    2,292.76/3,439.16 = 561.39/x
  3. Step 3: Cross multiply
    2,292.76x = 3,439.16 × 561.39
  4. Step 4: Simplify right side
    2,292.76x = 1,930,710.03
  5. Step 5: Solve for x
    x = 1,930,710.03/2,292.76
  6. Step 6: Final answer
    x = 842.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.