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Finding the Fourth Proportional to 2,702.96, 4,051.52 and 2,218.16

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Solution

The fourth proportional to 2,702.96, 4,051.52 and 2,218.16 is: 3,324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.96 : 4,051.52 = 2,218.16 : x
  2. Step 2: Convert to fraction form
    2,702.96/4,051.52 = 2,218.16/x
  3. Step 3: Cross multiply
    2,702.96x = 4,051.52 × 2,218.16
  4. Step 4: Simplify right side
    2,702.96x = 8,986,919.60
  5. Step 5: Solve for x
    x = 8,986,919.60/2,702.96
  6. Step 6: Final answer
    x = 3,324.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.