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Finding the Fourth Proportional to 2,275.74, 3,140.49 and 1,332.18

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Solution

The fourth proportional to 2,275.74, 3,140.49 and 1,332.18 is: 1,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.74 : 3,140.49 = 1,332.18 : x
  2. Step 2: Convert to fraction form
    2,275.74/3,140.49 = 1,332.18/x
  3. Step 3: Cross multiply
    2,275.74x = 3,140.49 × 1,332.18
  4. Step 4: Simplify right side
    2,275.74x = 4,183,697.97
  5. Step 5: Solve for x
    x = 4,183,697.97/2,275.74
  6. Step 6: Final answer
    x = 1,838.39

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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.