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Finding the Fourth Proportional to 1,687.12, 2,327.97 and 940.97

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Solution

The fourth proportional to 1,687.12, 2,327.97 and 940.97 is: 1,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.12 : 2,327.97 = 940.97 : x
  2. Step 2: Convert to fraction form
    1,687.12/2,327.97 = 940.97/x
  3. Step 3: Cross multiply
    1,687.12x = 2,327.97 × 940.97
  4. Step 4: Simplify right side
    1,687.12x = 2,190,549.93
  5. Step 5: Solve for x
    x = 2,190,549.93/1,687.12
  6. Step 6: Final answer
    x = 1,298.40

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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.