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Finding the Fourth Proportional to 2,315.46, 3,473.43 and 734.58

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Solution

The fourth proportional to 2,315.46, 3,473.43 and 734.58 is: 1,101.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.46 : 3,473.43 = 734.58 : x
  2. Step 2: Convert to fraction form
    2,315.46/3,473.43 = 734.58/x
  3. Step 3: Cross multiply
    2,315.46x = 3,473.43 × 734.58
  4. Step 4: Simplify right side
    2,315.46x = 2,551,512.21
  5. Step 5: Solve for x
    x = 2,551,512.21/2,315.46
  6. Step 6: Final answer
    x = 1,101.95

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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.