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Finding the Fourth Proportional to 2,713.52, 4,067.54 and 1,069.16

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Solution

The fourth proportional to 2,713.52, 4,067.54 and 1,069.16 is: 1,602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.52 : 4,067.54 = 1,069.16 : x
  2. Step 2: Convert to fraction form
    2,713.52/4,067.54 = 1,069.16/x
  3. Step 3: Cross multiply
    2,713.52x = 4,067.54 × 1,069.16
  4. Step 4: Simplify right side
    2,713.52x = 4,348,851.07
  5. Step 5: Solve for x
    x = 4,348,851.07/2,713.52
  6. Step 6: Final answer
    x = 1,602.66

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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.