Home / 1,678.38-2,316.16-932.46

Finding the Fourth Proportional to 1,678.38, 2,316.16 and 932.46

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Solution

The fourth proportional to 1,678.38, 2,316.16 and 932.46 is: 1,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.38 : 2,316.16 = 932.46 : x
  2. Step 2: Convert to fraction form
    1,678.38/2,316.16 = 932.46/x
  3. Step 3: Cross multiply
    1,678.38x = 2,316.16 × 932.46
  4. Step 4: Simplify right side
    1,678.38x = 2,159,726.55
  5. Step 5: Solve for x
    x = 2,159,726.55/1,678.38
  6. Step 6: Final answer
    x = 1,286.79

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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.