Home / 1,678.41-2,316.28-932.36

Finding the Fourth Proportional to 1,678.41, 2,316.28 and 932.36

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Solution

The fourth proportional to 1,678.41, 2,316.28 and 932.36 is: 1,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.41 : 2,316.28 = 932.36 : x
  2. Step 2: Convert to fraction form
    1,678.41/2,316.28 = 932.36/x
  3. Step 3: Cross multiply
    1,678.41x = 2,316.28 × 932.36
  4. Step 4: Simplify right side
    1,678.41x = 2,159,611.62
  5. Step 5: Solve for x
    x = 2,159,611.62/1,678.41
  6. Step 6: Final answer
    x = 1,286.70

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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.