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Finding the Fourth Proportional to 2,877.96, 4,316.86 and 2,012.84

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Solution

The fourth proportional to 2,877.96, 4,316.86 and 2,012.84 is: 3,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.96 : 4,316.86 = 2,012.84 : x
  2. Step 2: Convert to fraction form
    2,877.96/4,316.86 = 2,012.84/x
  3. Step 3: Cross multiply
    2,877.96x = 4,316.86 × 2,012.84
  4. Step 4: Simplify right side
    2,877.96x = 8,689,148.48
  5. Step 5: Solve for x
    x = 8,689,148.48/2,877.96
  6. Step 6: Final answer
    x = 3,019.20

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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.