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Finding the Fourth Proportional to 1,843.67, 2,759.13 and 1,510.76

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Solution

The fourth proportional to 1,843.67, 2,759.13 and 1,510.76 is: 2,260.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.67 : 2,759.13 = 1,510.76 : x
  2. Step 2: Convert to fraction form
    1,843.67/2,759.13 = 1,510.76/x
  3. Step 3: Cross multiply
    1,843.67x = 2,759.13 × 1,510.76
  4. Step 4: Simplify right side
    1,843.67x = 4,168,390.14
  5. Step 5: Solve for x
    x = 4,168,390.14/1,843.67
  6. Step 6: Final answer
    x = 2,260.92

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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.