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Finding the Fourth Proportional to 2,591.76, 3,902.25 and 2,285.52

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Solution

The fourth proportional to 2,591.76, 3,902.25 and 2,285.52 is: 3,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.76 : 3,902.25 = 2,285.52 : x
  2. Step 2: Convert to fraction form
    2,591.76/3,902.25 = 2,285.52/x
  3. Step 3: Cross multiply
    2,591.76x = 3,902.25 × 2,285.52
  4. Step 4: Simplify right side
    2,591.76x = 8,918,670.42
  5. Step 5: Solve for x
    x = 8,918,670.42/2,591.76
  6. Step 6: Final answer
    x = 3,441.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.