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Finding the Fourth Proportional to 1,882.92, 2,598.42 and 1,043.70

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Solution

The fourth proportional to 1,882.92, 2,598.42 and 1,043.70 is: 1,440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.92 : 2,598.42 = 1,043.70 : x
  2. Step 2: Convert to fraction form
    1,882.92/2,598.42 = 1,043.70/x
  3. Step 3: Cross multiply
    1,882.92x = 2,598.42 × 1,043.70
  4. Step 4: Simplify right side
    1,882.92x = 2,711,970.95
  5. Step 5: Solve for x
    x = 2,711,970.95/1,882.92
  6. Step 6: Final answer
    x = 1,440.30

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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.