Home / 1,678.32-2,316.23-932.33

Finding the Fourth Proportional to 1,678.32, 2,316.23 and 932.33

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Solution

The fourth proportional to 1,678.32, 2,316.23 and 932.33 is: 1,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.32 : 2,316.23 = 932.33 : x
  2. Step 2: Convert to fraction form
    1,678.32/2,316.23 = 932.33/x
  3. Step 3: Cross multiply
    1,678.32x = 2,316.23 × 932.33
  4. Step 4: Simplify right side
    1,678.32x = 2,159,474.47
  5. Step 5: Solve for x
    x = 2,159,474.47/1,678.32
  6. Step 6: Final answer
    x = 1,286.69

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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.