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Finding the Fourth Proportional to 2,883.52, 3,979.80 and 2,298.64

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Solution

The fourth proportional to 2,883.52, 3,979.80 and 2,298.64 is: 3,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.52 : 3,979.80 = 2,298.64 : x
  2. Step 2: Convert to fraction form
    2,883.52/3,979.80 = 2,298.64/x
  3. Step 3: Cross multiply
    2,883.52x = 3,979.80 × 2,298.64
  4. Step 4: Simplify right side
    2,883.52x = 9,148,127.47
  5. Step 5: Solve for x
    x = 9,148,127.47/2,883.52
  6. Step 6: Final answer
    x = 3,172.56

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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.