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Finding the Fourth Proportional to 2,963.47, 4,447.50 and 1,116.27

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Solution

The fourth proportional to 2,963.47, 4,447.50 and 1,116.27 is: 1,675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.47 : 4,447.50 = 1,116.27 : x
  2. Step 2: Convert to fraction form
    2,963.47/4,447.50 = 1,116.27/x
  3. Step 3: Cross multiply
    2,963.47x = 4,447.50 × 1,116.27
  4. Step 4: Simplify right side
    2,963.47x = 4,964,603.55
  5. Step 5: Solve for x
    x = 4,964,603.55/2,963.47
  6. Step 6: Final answer
    x = 1,675.27

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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.