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Finding the Fourth Proportional to 2,877.67, 4,316.59 and 797.69

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Solution

The fourth proportional to 2,877.67, 4,316.59 and 797.69 is: 1,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.67 : 4,316.59 = 797.69 : x
  2. Step 2: Convert to fraction form
    2,877.67/4,316.59 = 797.69/x
  3. Step 3: Cross multiply
    2,877.67x = 4,316.59 × 797.69
  4. Step 4: Simplify right side
    2,877.67x = 3,443,313.46
  5. Step 5: Solve for x
    x = 3,443,313.46/2,877.67
  6. Step 6: Final answer
    x = 1,196.56

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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.