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Finding the Fourth Proportional to 1,332.13, 1,825.03 and 1,282.26

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Solution

The fourth proportional to 1,332.13, 1,825.03 and 1,282.26 is: 1,756.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.13 : 1,825.03 = 1,282.26 : x
  2. Step 2: Convert to fraction form
    1,332.13/1,825.03 = 1,282.26/x
  3. Step 3: Cross multiply
    1,332.13x = 1,825.03 × 1,282.26
  4. Step 4: Simplify right side
    1,332.13x = 2,340,162.97
  5. Step 5: Solve for x
    x = 2,340,162.97/1,332.13
  6. Step 6: Final answer
    x = 1,756.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.