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Finding the Fourth Proportional to 3,292.70, 4,941.36 and 1,442.88

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Solution

The fourth proportional to 3,292.70, 4,941.36 and 1,442.88 is: 2,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.70 : 4,941.36 = 1,442.88 : x
  2. Step 2: Convert to fraction form
    3,292.70/4,941.36 = 1,442.88/x
  3. Step 3: Cross multiply
    3,292.70x = 4,941.36 × 1,442.88
  4. Step 4: Simplify right side
    3,292.70x = 7,129,789.52
  5. Step 5: Solve for x
    x = 7,129,789.52/3,292.70
  6. Step 6: Final answer
    x = 2,165.34

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1.5x scale

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.