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Finding the Fourth Proportional to 2,027.20, 3,040.80 and 916.00

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Solution

The fourth proportional to 2,027.20, 3,040.80 and 916.00 is: 1,374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.20 : 3,040.80 = 916.00 : x
  2. Step 2: Convert to fraction form
    2,027.20/3,040.80 = 916.00/x
  3. Step 3: Cross multiply
    2,027.20x = 3,040.80 × 916.00
  4. Step 4: Simplify right side
    2,027.20x = 2,785,384.02
  5. Step 5: Solve for x
    x = 2,785,384.02/2,027.20
  6. Step 6: Final answer
    x = 1,374.01

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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.