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Finding the Fourth Proportional to 2,287.96, 3,415.37 and 2,116.76

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Solution

The fourth proportional to 2,287.96, 3,415.37 and 2,116.76 is: 3,159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.96 : 3,415.37 = 2,116.76 : x
  2. Step 2: Convert to fraction form
    2,287.96/3,415.37 = 2,116.76/x
  3. Step 3: Cross multiply
    2,287.96x = 3,415.37 × 2,116.76
  4. Step 4: Simplify right side
    2,287.96x = 7,229,500.55
  5. Step 5: Solve for x
    x = 7,229,500.55/2,287.96
  6. Step 6: Final answer
    x = 3,159.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.