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Finding the Fourth Proportional to 2,877.27, 4,316.16 and 797.28

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Solution

The fourth proportional to 2,877.27, 4,316.16 and 797.28 is: 1,195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.27 : 4,316.16 = 797.28 : x
  2. Step 2: Convert to fraction form
    2,877.27/4,316.16 = 797.28/x
  3. Step 3: Cross multiply
    2,877.27x = 4,316.16 × 797.28
  4. Step 4: Simplify right side
    2,877.27x = 3,441,162.48
  5. Step 5: Solve for x
    x = 3,441,162.48/2,877.27
  6. Step 6: Final answer
    x = 1,195.98

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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.