Home / 1,678.27-2,315.97-932.23

Finding the Fourth Proportional to 1,678.27, 2,315.97 and 932.23

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Solution

The fourth proportional to 1,678.27, 2,315.97 and 932.23 is: 1,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.27 : 2,315.97 = 932.23 : x
  2. Step 2: Convert to fraction form
    1,678.27/2,315.97 = 932.23/x
  3. Step 3: Cross multiply
    1,678.27x = 2,315.97 × 932.23
  4. Step 4: Simplify right side
    1,678.27x = 2,159,008.84
  5. Step 5: Solve for x
    x = 2,159,008.84/1,678.27
  6. Step 6: Final answer
    x = 1,286.45

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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.