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Finding the Fourth Proportional to 2,952.60, 4,428.94 and 872.64

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Solution

The fourth proportional to 2,952.60, 4,428.94 and 872.64 is: 1,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.60 : 4,428.94 = 872.64 : x
  2. Step 2: Convert to fraction form
    2,952.60/4,428.94 = 872.64/x
  3. Step 3: Cross multiply
    2,952.60x = 4,428.94 × 872.64
  4. Step 4: Simplify right side
    2,952.60x = 3,864,843.69
  5. Step 5: Solve for x
    x = 3,864,843.69/2,952.60
  6. Step 6: Final answer
    x = 1,308.96

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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.