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Finding the Fourth Proportional to 2,713.82, 4,070.66 and 765.99

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Solution

The fourth proportional to 2,713.82, 4,070.66 and 765.99 is: 1,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.82 : 4,070.66 = 765.99 : x
  2. Step 2: Convert to fraction form
    2,713.82/4,070.66 = 765.99/x
  3. Step 3: Cross multiply
    2,713.82x = 4,070.66 × 765.99
  4. Step 4: Simplify right side
    2,713.82x = 3,118,081.02
  5. Step 5: Solve for x
    x = 3,118,081.02/2,713.82
  6. Step 6: Final answer
    x = 1,148.97

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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.