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Finding the Fourth Proportional to 2,607.32, 3,912.90 and 1,026.28

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Solution

The fourth proportional to 2,607.32, 3,912.90 and 1,026.28 is: 1,540.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.32 : 3,912.90 = 1,026.28 : x
  2. Step 2: Convert to fraction form
    2,607.32/3,912.90 = 1,026.28/x
  3. Step 3: Cross multiply
    2,607.32x = 3,912.90 × 1,026.28
  4. Step 4: Simplify right side
    2,607.32x = 4,015,731.01
  5. Step 5: Solve for x
    x = 4,015,731.01/2,607.32
  6. Step 6: Final answer
    x = 1,540.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.