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Finding the Fourth Proportional to 4,506.71, 6,760.46 and 1,734.62

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Solution

The fourth proportional to 4,506.71, 6,760.46 and 1,734.62 is: 2,602.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.71 : 6,760.46 = 1,734.62 : x
  2. Step 2: Convert to fraction form
    4,506.71/6,760.46 = 1,734.62/x
  3. Step 3: Cross multiply
    4,506.71x = 6,760.46 × 1,734.62
  4. Step 4: Simplify right side
    4,506.71x = 11,726,799.66
  5. Step 5: Solve for x
    x = 11,726,799.66/4,506.71
  6. Step 6: Final answer
    x = 2,602.08

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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.