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Finding the Fourth Proportional to 1,882.58, 2,597.95 and 1,043.23

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Solution

The fourth proportional to 1,882.58, 2,597.95 and 1,043.23 is: 1,439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.58 : 2,597.95 = 1,043.23 : x
  2. Step 2: Convert to fraction form
    1,882.58/2,597.95 = 1,043.23/x
  3. Step 3: Cross multiply
    1,882.58x = 2,597.95 × 1,043.23
  4. Step 4: Simplify right side
    1,882.58x = 2,710,259.38
  5. Step 5: Solve for x
    x = 2,710,259.38/1,882.58
  6. Step 6: Final answer
    x = 1,439.65

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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.