Home / 1,678.14-2,315.81-932.10

Finding the Fourth Proportional to 1,678.14, 2,315.81 and 932.10

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Solution

The fourth proportional to 1,678.14, 2,315.81 and 932.10 is: 1,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.14 : 2,315.81 = 932.10 : x
  2. Step 2: Convert to fraction form
    1,678.14/2,315.81 = 932.10/x
  3. Step 3: Cross multiply
    1,678.14x = 2,315.81 × 932.10
  4. Step 4: Simplify right side
    1,678.14x = 2,158,561.84
  5. Step 5: Solve for x
    x = 2,158,561.84/1,678.14
  6. Step 6: Final answer
    x = 1,286.28

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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.