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Finding the Fourth Proportional to 2,713.35, 4,070.37 and 765.56

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Solution

The fourth proportional to 2,713.35, 4,070.37 and 765.56 is: 1,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.35 : 4,070.37 = 765.56 : x
  2. Step 2: Convert to fraction form
    2,713.35/4,070.37 = 765.56/x
  3. Step 3: Cross multiply
    2,713.35x = 4,070.37 × 765.56
  4. Step 4: Simplify right side
    2,713.35x = 3,116,112.46
  5. Step 5: Solve for x
    x = 3,116,112.46/2,713.35
  6. Step 6: Final answer
    x = 1,148.44

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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.