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Finding the Fourth Proportional to 1,841.75, 2,541.62 and 1,013.75

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Solution

The fourth proportional to 1,841.75, 2,541.62 and 1,013.75 is: 1,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.75 : 2,541.62 = 1,013.75 : x
  2. Step 2: Convert to fraction form
    1,841.75/2,541.62 = 1,013.75/x
  3. Step 3: Cross multiply
    1,841.75x = 2,541.62 × 1,013.75
  4. Step 4: Simplify right side
    1,841.75x = 2,576,567.28
  5. Step 5: Solve for x
    x = 2,576,567.28/1,841.75
  6. Step 6: Final answer
    x = 1,398.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.