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Finding the Fourth Proportional to 2,957.78, 4,438.96 and 2,209.16

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Solution

The fourth proportional to 2,957.78, 4,438.96 and 2,209.16 is: 3,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.78 : 4,438.96 = 2,209.16 : x
  2. Step 2: Convert to fraction form
    2,957.78/4,438.96 = 2,209.16/x
  3. Step 3: Cross multiply
    2,957.78x = 4,438.96 × 2,209.16
  4. Step 4: Simplify right side
    2,957.78x = 9,806,378.45
  5. Step 5: Solve for x
    x = 9,806,378.45/2,957.78
  6. Step 6: Final answer
    x = 3,315.45

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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.