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Finding the Fourth Proportional to 1,332.45, 1,834.65 and 1,145.61

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Solution

The fourth proportional to 1,332.45, 1,834.65 and 1,145.61 is: 1,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.45 : 1,834.65 = 1,145.61 : x
  2. Step 2: Convert to fraction form
    1,332.45/1,834.65 = 1,145.61/x
  3. Step 3: Cross multiply
    1,332.45x = 1,834.65 × 1,145.61
  4. Step 4: Simplify right side
    1,332.45x = 2,101,793.39
  5. Step 5: Solve for x
    x = 2,101,793.39/1,332.45
  6. Step 6: Final answer
    x = 1,577.39

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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.