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Finding the Fourth Proportional to 3,113.87, 4,671.60 and 1,034.46

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Solution

The fourth proportional to 3,113.87, 4,671.60 and 1,034.46 is: 1,551.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.87 : 4,671.60 = 1,034.46 : x
  2. Step 2: Convert to fraction form
    3,113.87/4,671.60 = 1,034.46/x
  3. Step 3: Cross multiply
    3,113.87x = 4,671.60 × 1,034.46
  4. Step 4: Simplify right side
    3,113.87x = 4,832,583.34
  5. Step 5: Solve for x
    x = 4,832,583.34/3,113.87
  6. Step 6: Final answer
    x = 1,551.95

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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.