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Finding the Fourth Proportional to 2,713.82, 4,070.74 and 766.10

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Solution

The fourth proportional to 2,713.82, 4,070.74 and 766.10 is: 1,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.82 : 4,070.74 = 766.10 : x
  2. Step 2: Convert to fraction form
    2,713.82/4,070.74 = 766.10/x
  3. Step 3: Cross multiply
    2,713.82x = 4,070.74 × 766.10
  4. Step 4: Simplify right side
    2,713.82x = 3,118,593.91
  5. Step 5: Solve for x
    x = 3,118,593.91/2,713.82
  6. Step 6: Final answer
    x = 1,149.15

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1.5x scale

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.