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Finding the Fourth Proportional to 2,362.72, 3,258.96 and 1,534.72

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Solution

The fourth proportional to 2,362.72, 3,258.96 and 1,534.72 is: 2,116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.72 : 3,258.96 = 1,534.72 : x
  2. Step 2: Convert to fraction form
    2,362.72/3,258.96 = 1,534.72/x
  3. Step 3: Cross multiply
    2,362.72x = 3,258.96 × 1,534.72
  4. Step 4: Simplify right side
    2,362.72x = 5,001,591.09
  5. Step 5: Solve for x
    x = 5,001,591.09/2,362.72
  6. Step 6: Final answer
    x = 2,116.88

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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.