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Finding the Fourth Proportional to 1,350.80, 2,024.76 and 918.08

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Solution

The fourth proportional to 1,350.80, 2,024.76 and 918.08 is: 1,376.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.80 : 2,024.76 = 918.08 : x
  2. Step 2: Convert to fraction form
    1,350.80/2,024.76 = 918.08/x
  3. Step 3: Cross multiply
    1,350.80x = 2,024.76 × 918.08
  4. Step 4: Simplify right side
    1,350.80x = 1,858,891.66
  5. Step 5: Solve for x
    x = 1,858,891.66/1,350.80
  6. Step 6: Final answer
    x = 1,376.14

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Why These Related Problems?

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