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Finding the Fourth Proportional to 2,125.62, 2,932.20 and 1,378.62

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Solution

The fourth proportional to 2,125.62, 2,932.20 and 1,378.62 is: 1,901.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.62 : 2,932.20 = 1,378.62 : x
  2. Step 2: Convert to fraction form
    2,125.62/2,932.20 = 1,378.62/x
  3. Step 3: Cross multiply
    2,125.62x = 2,932.20 × 1,378.62
  4. Step 4: Simplify right side
    2,125.62x = 4,042,389.56
  5. Step 5: Solve for x
    x = 4,042,389.56/2,125.62
  6. Step 6: Final answer
    x = 1,901.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.