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Finding the Fourth Proportional to 2,283.39, 3,151.10 and 1,339.74

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Solution

The fourth proportional to 2,283.39, 3,151.10 and 1,339.74 is: 1,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.39 : 3,151.10 = 1,339.74 : x
  2. Step 2: Convert to fraction form
    2,283.39/3,151.10 = 1,339.74/x
  3. Step 3: Cross multiply
    2,283.39x = 3,151.10 × 1,339.74
  4. Step 4: Simplify right side
    2,283.39x = 4,221,648.02
  5. Step 5: Solve for x
    x = 4,221,648.02/2,283.39
  6. Step 6: Final answer
    x = 1,848.85

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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.