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Finding the Fourth Proportional to 2,713.73, 4,070.60 and 765.93

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Solution

The fourth proportional to 2,713.73, 4,070.60 and 765.93 is: 1,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.73 : 4,070.60 = 765.93 : x
  2. Step 2: Convert to fraction form
    2,713.73/4,070.60 = 765.93/x
  3. Step 3: Cross multiply
    2,713.73x = 4,070.60 × 765.93
  4. Step 4: Simplify right side
    2,713.73x = 3,117,796.57
  5. Step 5: Solve for x
    x = 3,117,796.57/2,713.73
  6. Step 6: Final answer
    x = 1,148.90

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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.