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Finding the Fourth Proportional to 2,026.12, 3,040.08 and 915.81

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Solution

The fourth proportional to 2,026.12, 3,040.08 and 915.81 is: 1,374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.12 : 3,040.08 = 915.81 : x
  2. Step 2: Convert to fraction form
    2,026.12/3,040.08 = 915.81/x
  3. Step 3: Cross multiply
    2,026.12x = 3,040.08 × 915.81
  4. Step 4: Simplify right side
    2,026.12x = 2,784,135.66
  5. Step 5: Solve for x
    x = 2,784,135.66/2,026.12
  6. Step 6: Final answer
    x = 1,374.12

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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.