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Finding the Fourth Proportional to 2,591.16, 3,884.58 and 947.52

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Solution

The fourth proportional to 2,591.16, 3,884.58 and 947.52 is: 1,420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.16 : 3,884.58 = 947.52 : x
  2. Step 2: Convert to fraction form
    2,591.16/3,884.58 = 947.52/x
  3. Step 3: Cross multiply
    2,591.16x = 3,884.58 × 947.52
  4. Step 4: Simplify right side
    2,591.16x = 3,680,717.24
  5. Step 5: Solve for x
    x = 3,680,717.24/2,591.16
  6. Step 6: Final answer
    x = 1,420.49

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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.