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Finding the Fourth Proportional to 2,877.20, 4,315.89 and 797.02

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Solution

The fourth proportional to 2,877.20, 4,315.89 and 797.02 is: 1,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.20 : 4,315.89 = 797.02 : x
  2. Step 2: Convert to fraction form
    2,877.20/4,315.89 = 797.02/x
  3. Step 3: Cross multiply
    2,877.20x = 4,315.89 × 797.02
  4. Step 4: Simplify right side
    2,877.20x = 3,439,852.06
  5. Step 5: Solve for x
    x = 3,439,852.06/2,877.20
  6. Step 6: Final answer
    x = 1,195.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.