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Finding the Fourth Proportional to 2,671.62, 3,685.20 and 1,727.06

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Solution

The fourth proportional to 2,671.62, 3,685.20 and 1,727.06 is: 2,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.62 : 3,685.20 = 1,727.06 : x
  2. Step 2: Convert to fraction form
    2,671.62/3,685.20 = 1,727.06/x
  3. Step 3: Cross multiply
    2,671.62x = 3,685.20 × 1,727.06
  4. Step 4: Simplify right side
    2,671.62x = 6,364,536.61
  5. Step 5: Solve for x
    x = 6,364,536.61/2,671.62
  6. Step 6: Final answer
    x = 2,382.28

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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.