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Finding the Fourth Proportional to 2,969.52, 4,454.27 and 1,305.28

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Solution

The fourth proportional to 2,969.52, 4,454.27 and 1,305.28 is: 1,957.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.52 : 4,454.27 = 1,305.28 : x
  2. Step 2: Convert to fraction form
    2,969.52/4,454.27 = 1,305.28/x
  3. Step 3: Cross multiply
    2,969.52x = 4,454.27 × 1,305.28
  4. Step 4: Simplify right side
    2,969.52x = 5,814,069.55
  5. Step 5: Solve for x
    x = 5,814,069.55/2,969.52
  6. Step 6: Final answer
    x = 1,957.92

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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.