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Finding the Fourth Proportional to 2,298.78, 3,171.05 and 1,553.78

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Solution

The fourth proportional to 2,298.78, 3,171.05 and 1,553.78 is: 2,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.78 : 3,171.05 = 1,553.78 : x
  2. Step 2: Convert to fraction form
    2,298.78/3,171.05 = 1,553.78/x
  3. Step 3: Cross multiply
    2,298.78x = 3,171.05 × 1,553.78
  4. Step 4: Simplify right side
    2,298.78x = 4,927,120.05
  5. Step 5: Solve for x
    x = 4,927,120.05/2,298.78
  6. Step 6: Final answer
    x = 2,143.36

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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.