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Finding the Fourth Proportional to 2,754.60, 4,130.53 and 880.24

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Solution

The fourth proportional to 2,754.60, 4,130.53 and 880.24 is: 1,319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.60 : 4,130.53 = 880.24 : x
  2. Step 2: Convert to fraction form
    2,754.60/4,130.53 = 880.24/x
  3. Step 3: Cross multiply
    2,754.60x = 4,130.53 × 880.24
  4. Step 4: Simplify right side
    2,754.60x = 3,635,857.73
  5. Step 5: Solve for x
    x = 3,635,857.73/2,754.60
  6. Step 6: Final answer
    x = 1,319.92

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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.