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Finding the Fourth Proportional to 2,557.78, 3,816.72 and 2,281.97

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Solution

The fourth proportional to 2,557.78, 3,816.72 and 2,281.97 is: 3,405.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.78 : 3,816.72 = 2,281.97 : x
  2. Step 2: Convert to fraction form
    2,557.78/3,816.72 = 2,281.97/x
  3. Step 3: Cross multiply
    2,557.78x = 3,816.72 × 2,281.97
  4. Step 4: Simplify right side
    2,557.78x = 8,709,650.08
  5. Step 5: Solve for x
    x = 8,709,650.08/2,557.78
  6. Step 6: Final answer
    x = 3,405.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.