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Finding the Fourth Proportional to 2,591.73, 3,575.95 and 1,583.18

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Solution

The fourth proportional to 2,591.73, 3,575.95 and 1,583.18 is: 2,184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.73 : 3,575.95 = 1,583.18 : x
  2. Step 2: Convert to fraction form
    2,591.73/3,575.95 = 1,583.18/x
  3. Step 3: Cross multiply
    2,591.73x = 3,575.95 × 1,583.18
  4. Step 4: Simplify right side
    2,591.73x = 5,661,372.52
  5. Step 5: Solve for x
    x = 5,661,372.52/2,591.73
  6. Step 6: Final answer
    x = 2,184.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.