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Finding the Fourth Proportional to 1,732.80, 2,390.08 and 1,069.12

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Solution

The fourth proportional to 1,732.80, 2,390.08 and 1,069.12 is: 1,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.80 : 2,390.08 = 1,069.12 : x
  2. Step 2: Convert to fraction form
    1,732.80/2,390.08 = 1,069.12/x
  3. Step 3: Cross multiply
    1,732.80x = 2,390.08 × 1,069.12
  4. Step 4: Simplify right side
    1,732.80x = 2,555,282.33
  5. Step 5: Solve for x
    x = 2,555,282.33/1,732.80
  6. Step 6: Final answer
    x = 1,474.66

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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.