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Finding the Fourth Proportional to 2,257.60, 3,387.75 and 797.98

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Solution

The fourth proportional to 2,257.60, 3,387.75 and 797.98 is: 1,197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.60 : 3,387.75 = 797.98 : x
  2. Step 2: Convert to fraction form
    2,257.60/3,387.75 = 797.98/x
  3. Step 3: Cross multiply
    2,257.60x = 3,387.75 × 797.98
  4. Step 4: Simplify right side
    2,257.60x = 2,703,356.75
  5. Step 5: Solve for x
    x = 2,703,356.75/2,257.60
  6. Step 6: Final answer
    x = 1,197.45

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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.