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Finding the Fourth Proportional to 3,146.07, 4,719.20 and 1,414.70

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Solution

The fourth proportional to 3,146.07, 4,719.20 and 1,414.70 is: 2,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.07 : 4,719.20 = 1,414.70 : x
  2. Step 2: Convert to fraction form
    3,146.07/4,719.20 = 1,414.70/x
  3. Step 3: Cross multiply
    3,146.07x = 4,719.20 × 1,414.70
  4. Step 4: Simplify right side
    3,146.07x = 6,676,221.57
  5. Step 5: Solve for x
    x = 6,676,221.57/3,146.07
  6. Step 6: Final answer
    x = 2,122.08

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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.