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Finding the Fourth Proportional to 2,957.76, 4,077.46 and 2,327.19

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Solution

The fourth proportional to 2,957.76, 4,077.46 and 2,327.19 is: 3,208.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.76 : 4,077.46 = 2,327.19 : x
  2. Step 2: Convert to fraction form
    2,957.76/4,077.46 = 2,327.19/x
  3. Step 3: Cross multiply
    2,957.76x = 4,077.46 × 2,327.19
  4. Step 4: Simplify right side
    2,957.76x = 9,489,024.14
  5. Step 5: Solve for x
    x = 9,489,024.14/2,957.76
  6. Step 6: Final answer
    x = 3,208.18

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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.