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Finding the Fourth Proportional to 1,686.14, 2,326.81 and 940.13

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Solution

The fourth proportional to 1,686.14, 2,326.81 and 940.13 is: 1,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.14 : 2,326.81 = 940.13 : x
  2. Step 2: Convert to fraction form
    1,686.14/2,326.81 = 940.13/x
  3. Step 3: Cross multiply
    1,686.14x = 2,326.81 × 940.13
  4. Step 4: Simplify right side
    1,686.14x = 2,187,487.55
  5. Step 5: Solve for x
    x = 2,187,487.55/1,686.14
  6. Step 6: Final answer
    x = 1,297.34

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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.