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Finding the Fourth Proportional to 2,684.76, 3,705.24 and 1,637.44

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Solution

The fourth proportional to 2,684.76, 3,705.24 and 1,637.44 is: 2,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.76 : 3,705.24 = 1,637.44 : x
  2. Step 2: Convert to fraction form
    2,684.76/3,705.24 = 1,637.44/x
  3. Step 3: Cross multiply
    2,684.76x = 3,705.24 × 1,637.44
  4. Step 4: Simplify right side
    2,684.76x = 6,067,108.19
  5. Step 5: Solve for x
    x = 6,067,108.19/2,684.76
  6. Step 6: Final answer
    x = 2,259.83

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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.