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Finding the Fourth Proportional to 1,734.42, 2,599.14 and 746.97

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Solution

The fourth proportional to 1,734.42, 2,599.14 and 746.97 is: 1,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.42 : 2,599.14 = 746.97 : x
  2. Step 2: Convert to fraction form
    1,734.42/2,599.14 = 746.97/x
  3. Step 3: Cross multiply
    1,734.42x = 2,599.14 × 746.97
  4. Step 4: Simplify right side
    1,734.42x = 1,941,479.61
  5. Step 5: Solve for x
    x = 1,941,479.61/1,734.42
  6. Step 6: Final answer
    x = 1,119.38

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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.