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Finding the Fourth Proportional to 1,882.74, 2,597.95 and 1,086.32

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Solution

The fourth proportional to 1,882.74, 2,597.95 and 1,086.32 is: 1,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.74 : 2,597.95 = 1,086.32 : x
  2. Step 2: Convert to fraction form
    1,882.74/2,597.95 = 1,086.32/x
  3. Step 3: Cross multiply
    1,882.74x = 2,597.95 × 1,086.32
  4. Step 4: Simplify right side
    1,882.74x = 2,822,205.04
  5. Step 5: Solve for x
    x = 2,822,205.04/1,882.74
  6. Step 6: Final answer
    x = 1,498.99

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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.