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Finding the Fourth Proportional to 2,868.16, 3,957.99 and 1,609.19

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Solution

The fourth proportional to 2,868.16, 3,957.99 and 1,609.19 is: 2,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.16 : 3,957.99 = 1,609.19 : x
  2. Step 2: Convert to fraction form
    2,868.16/3,957.99 = 1,609.19/x
  3. Step 3: Cross multiply
    2,868.16x = 3,957.99 × 1,609.19
  4. Step 4: Simplify right side
    2,868.16x = 6,369,157.93
  5. Step 5: Solve for x
    x = 6,369,157.93/2,868.16
  6. Step 6: Final answer
    x = 2,220.65

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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.