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Finding the Fourth Proportional to 2,365.20, 3,254.98 and 2,304.18

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Solution

The fourth proportional to 2,365.20, 3,254.98 and 2,304.18 is: 3,171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.20 : 3,254.98 = 2,304.18 : x
  2. Step 2: Convert to fraction form
    2,365.20/3,254.98 = 2,304.18/x
  3. Step 3: Cross multiply
    2,365.20x = 3,254.98 × 2,304.18
  4. Step 4: Simplify right side
    2,365.20x = 7,500,059.82
  5. Step 5: Solve for x
    x = 7,500,059.82/2,365.20
  6. Step 6: Final answer
    x = 3,171.00

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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.