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Finding the Fourth Proportional to 2,713.48, 4,070.22 and 765.43

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Solution

The fourth proportional to 2,713.48, 4,070.22 and 765.43 is: 1,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.48 : 4,070.22 = 765.43 : x
  2. Step 2: Convert to fraction form
    2,713.48/4,070.22 = 765.43/x
  3. Step 3: Cross multiply
    2,713.48x = 4,070.22 × 765.43
  4. Step 4: Simplify right side
    2,713.48x = 3,115,468.49
  5. Step 5: Solve for x
    x = 3,115,468.49/2,713.48
  6. Step 6: Final answer
    x = 1,148.15

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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.