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Finding the Fourth Proportional to 1,510.80, 2,260.44 and 998.80

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Solution

The fourth proportional to 1,510.80, 2,260.44 and 998.80 is: 1,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.80 : 2,260.44 = 998.80 : x
  2. Step 2: Convert to fraction form
    1,510.80/2,260.44 = 998.80/x
  3. Step 3: Cross multiply
    1,510.80x = 2,260.44 × 998.80
  4. Step 4: Simplify right side
    1,510.80x = 2,257,727.47
  5. Step 5: Solve for x
    x = 2,257,727.47/1,510.80
  6. Step 6: Final answer
    x = 1,494.39

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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.