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Finding the Fourth Proportional to 2,702.16, 4,050.72 and 969.84

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Solution

The fourth proportional to 2,702.16, 4,050.72 and 969.84 is: 1,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.16 : 4,050.72 = 969.84 : x
  2. Step 2: Convert to fraction form
    2,702.16/4,050.72 = 969.84/x
  3. Step 3: Cross multiply
    2,702.16x = 4,050.72 × 969.84
  4. Step 4: Simplify right side
    2,702.16x = 3,928,550.28
  5. Step 5: Solve for x
    x = 3,928,550.28/2,702.16
  6. Step 6: Final answer
    x = 1,453.86

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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.