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Finding the Fourth Proportional to 2,713.70, 4,070.70 and 766.06

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Solution

The fourth proportional to 2,713.70, 4,070.70 and 766.06 is: 1,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.70 : 4,070.70 = 766.06 : x
  2. Step 2: Convert to fraction form
    2,713.70/4,070.70 = 766.06/x
  3. Step 3: Cross multiply
    2,713.70x = 4,070.70 × 766.06
  4. Step 4: Simplify right side
    2,713.70x = 3,118,400.44
  5. Step 5: Solve for x
    x = 3,118,400.44/2,713.70
  6. Step 6: Final answer
    x = 1,149.13

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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.