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Finding the Fourth Proportional to 2,932.70, 4,396.98 and 1,470.80

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Solution

The fourth proportional to 2,932.70, 4,396.98 and 1,470.80 is: 2,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.70 : 4,396.98 = 1,470.80 : x
  2. Step 2: Convert to fraction form
    2,932.70/4,396.98 = 1,470.80/x
  3. Step 3: Cross multiply
    2,932.70x = 4,396.98 × 1,470.80
  4. Step 4: Simplify right side
    2,932.70x = 6,467,078.18
  5. Step 5: Solve for x
    x = 6,467,078.18/2,932.70
  6. Step 6: Final answer
    x = 2,205.16

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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.