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Finding the Fourth Proportional to 2,380.53, 3,284.37 and 1,332.39

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Solution

The fourth proportional to 2,380.53, 3,284.37 and 1,332.39 is: 1,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.53 : 3,284.37 = 1,332.39 : x
  2. Step 2: Convert to fraction form
    2,380.53/3,284.37 = 1,332.39/x
  3. Step 3: Cross multiply
    2,380.53x = 3,284.37 × 1,332.39
  4. Step 4: Simplify right side
    2,380.53x = 4,376,061.74
  5. Step 5: Solve for x
    x = 4,376,061.74/2,380.53
  6. Step 6: Final answer
    x = 1,838.27

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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.