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Finding the Fourth Proportional to 2,707.84, 3,736.56 and 2,149.66

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Solution

The fourth proportional to 2,707.84, 3,736.56 and 2,149.66 is: 2,966.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.84 : 3,736.56 = 2,149.66 : x
  2. Step 2: Convert to fraction form
    2,707.84/3,736.56 = 2,149.66/x
  3. Step 3: Cross multiply
    2,707.84x = 3,736.56 × 2,149.66
  4. Step 4: Simplify right side
    2,707.84x = 8,032,333.57
  5. Step 5: Solve for x
    x = 8,032,333.57/2,707.84
  6. Step 6: Final answer
    x = 2,966.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.