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Finding the Fourth Proportional to 3,133.71, 4,702.39 and 1,160.71

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Solution

The fourth proportional to 3,133.71, 4,702.39 and 1,160.71 is: 1,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.71 : 4,702.39 = 1,160.71 : x
  2. Step 2: Convert to fraction form
    3,133.71/4,702.39 = 1,160.71/x
  3. Step 3: Cross multiply
    3,133.71x = 4,702.39 × 1,160.71
  4. Step 4: Simplify right side
    3,133.71x = 5,458,087.58
  5. Step 5: Solve for x
    x = 5,458,087.58/3,133.71
  6. Step 6: Final answer
    x = 1,741.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.