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Finding the Fourth Proportional to 2,775.60, 4,163.40 and 2,732.40

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Solution

The fourth proportional to 2,775.60, 4,163.40 and 2,732.40 is: 4,098.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.60 : 4,163.40 = 2,732.40 : x
  2. Step 2: Convert to fraction form
    2,775.60/4,163.40 = 2,732.40/x
  3. Step 3: Cross multiply
    2,775.60x = 4,163.40 × 2,732.40
  4. Step 4: Simplify right side
    2,775.60x = 11,376,074.16
  5. Step 5: Solve for x
    x = 11,376,074.16/2,775.60
  6. Step 6: Final answer
    x = 4,098.60

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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.