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Finding the Fourth Proportional to 2,760.51, 4,141.17 and 1,029

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Solution

The fourth proportional to 2,760.51, 4,141.17 and 1,029 is: 1,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.51 : 4,141.17 = 1,029 : x
  2. Step 2: Convert to fraction form
    2,760.51/4,141.17 = 1,029/x
  3. Step 3: Cross multiply
    2,760.51x = 4,141.17 × 1,029
  4. Step 4: Simplify right side
    2,760.51x = 4,261,263.93
  5. Step 5: Solve for x
    x = 4,261,263.93/2,760.51
  6. Step 6: Final answer
    x = 1,543.65

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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.