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Finding the Fourth Proportional to 1,280.24, 1,911.02 and 1,098.80

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Solution

The fourth proportional to 1,280.24, 1,911.02 and 1,098.80 is: 1,640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.24 : 1,911.02 = 1,098.80 : x
  2. Step 2: Convert to fraction form
    1,280.24/1,911.02 = 1,098.80/x
  3. Step 3: Cross multiply
    1,280.24x = 1,911.02 × 1,098.80
  4. Step 4: Simplify right side
    1,280.24x = 2,099,828.78
  5. Step 5: Solve for x
    x = 2,099,828.78/1,280.24
  6. Step 6: Final answer
    x = 1,640.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.