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Finding the Fourth Proportional to 2,877.68, 3,977.52 and 2,097.20

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Solution

The fourth proportional to 2,877.68, 3,977.52 and 2,097.20 is: 2,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.68 : 3,977.52 = 2,097.20 : x
  2. Step 2: Convert to fraction form
    2,877.68/3,977.52 = 2,097.20/x
  3. Step 3: Cross multiply
    2,877.68x = 3,977.52 × 2,097.20
  4. Step 4: Simplify right side
    2,877.68x = 8,341,654.94
  5. Step 5: Solve for x
    x = 8,341,654.94/2,877.68
  6. Step 6: Final answer
    x = 2,898.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.