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Finding the Fourth Proportional to 2,957.98, 4,077.77 and 2,327.41

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Solution

The fourth proportional to 2,957.98, 4,077.77 and 2,327.41 is: 3,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.98 : 4,077.77 = 2,327.41 : x
  2. Step 2: Convert to fraction form
    2,957.98/4,077.77 = 2,327.41/x
  3. Step 3: Cross multiply
    2,957.98x = 4,077.77 × 2,327.41
  4. Step 4: Simplify right side
    2,957.98x = 9,490,631.04
  5. Step 5: Solve for x
    x = 9,490,631.04/2,957.98
  6. Step 6: Final answer
    x = 3,208.49

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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.