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Finding the Fourth Proportional to 2,561.61, 3,843 and 918.03

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Solution

The fourth proportional to 2,561.61, 3,843 and 918.03 is: 1,377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.61 : 3,843 = 918.03 : x
  2. Step 2: Convert to fraction form
    2,561.61/3,843 = 918.03/x
  3. Step 3: Cross multiply
    2,561.61x = 3,843 × 918.03
  4. Step 4: Simplify right side
    2,561.61x = 3,527,989.29
  5. Step 5: Solve for x
    x = 3,527,989.29/2,561.61
  6. Step 6: Final answer
    x = 1,377.25

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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.