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Finding the Fourth Proportional to 1,686.19, 2,326.98 and 940.23

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Solution

The fourth proportional to 1,686.19, 2,326.98 and 940.23 is: 1,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.19 : 2,326.98 = 940.23 : x
  2. Step 2: Convert to fraction form
    1,686.19/2,326.98 = 940.23/x
  3. Step 3: Cross multiply
    1,686.19x = 2,326.98 × 940.23
  4. Step 4: Simplify right side
    1,686.19x = 2,187,884.77
  5. Step 5: Solve for x
    x = 2,187,884.77/1,686.19
  6. Step 6: Final answer
    x = 1,297.53

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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.