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Finding the Fourth Proportional to 1,781.96, 2,657.23 and 1,658.84

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Solution

The fourth proportional to 1,781.96, 2,657.23 and 1,658.84 is: 2,473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.96 : 2,657.23 = 1,658.84 : x
  2. Step 2: Convert to fraction form
    1,781.96/2,657.23 = 1,658.84/x
  3. Step 3: Cross multiply
    1,781.96x = 2,657.23 × 1,658.84
  4. Step 4: Simplify right side
    1,781.96x = 4,407,919.41
  5. Step 5: Solve for x
    x = 4,407,919.41/1,781.96
  6. Step 6: Final answer
    x = 2,473.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.