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Finding the Fourth Proportional to 4,854.52, 7,281.78 and 1,522.80

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Solution

The fourth proportional to 4,854.52, 7,281.78 and 1,522.80 is: 2,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.52 : 7,281.78 = 1,522.80 : x
  2. Step 2: Convert to fraction form
    4,854.52/7,281.78 = 1,522.80/x
  3. Step 3: Cross multiply
    4,854.52x = 7,281.78 × 1,522.80
  4. Step 4: Simplify right side
    4,854.52x = 11,088,694.58
  5. Step 5: Solve for x
    x = 11,088,694.58/4,854.52
  6. Step 6: Final answer
    x = 2,284.20

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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.