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Finding the Fourth Proportional to 3,257.84, 4,888.20 and 1,527.92

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Solution

The fourth proportional to 3,257.84, 4,888.20 and 1,527.92 is: 2,292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.84 : 4,888.20 = 1,527.92 : x
  2. Step 2: Convert to fraction form
    3,257.84/4,888.20 = 1,527.92/x
  3. Step 3: Cross multiply
    3,257.84x = 4,888.20 × 1,527.92
  4. Step 4: Simplify right side
    3,257.84x = 7,468,778.54
  5. Step 5: Solve for x
    x = 7,468,778.54/3,257.84
  6. Step 6: Final answer
    x = 2,292.56

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1.5x scale

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.