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Finding the Fourth Proportional to 2,868.48, 3,957.12 and 2,040.96

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Solution

The fourth proportional to 2,868.48, 3,957.12 and 2,040.96 is: 2,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.48 : 3,957.12 = 2,040.96 : x
  2. Step 2: Convert to fraction form
    2,868.48/3,957.12 = 2,040.96/x
  3. Step 3: Cross multiply
    2,868.48x = 3,957.12 × 2,040.96
  4. Step 4: Simplify right side
    2,868.48x = 8,076,323.64
  5. Step 5: Solve for x
    x = 8,076,323.64/2,868.48
  6. Step 6: Final answer
    x = 2,815.54

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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.