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Finding the Fourth Proportional to 2,576.61, 3,862.49 and 1,017.63

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Solution

The fourth proportional to 2,576.61, 3,862.49 and 1,017.63 is: 1,525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.61 : 3,862.49 = 1,017.63 : x
  2. Step 2: Convert to fraction form
    2,576.61/3,862.49 = 1,017.63/x
  3. Step 3: Cross multiply
    2,576.61x = 3,862.49 × 1,017.63
  4. Step 4: Simplify right side
    2,576.61x = 3,930,580.61
  5. Step 5: Solve for x
    x = 3,930,580.61/2,576.61
  6. Step 6: Final answer
    x = 1,525.49

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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.