Home / 1,678.19-2,315.84-932.09

Finding the Fourth Proportional to 1,678.19, 2,315.84 and 932.09

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Solution

The fourth proportional to 1,678.19, 2,315.84 and 932.09 is: 1,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.19 : 2,315.84 = 932.09 : x
  2. Step 2: Convert to fraction form
    1,678.19/2,315.84 = 932.09/x
  3. Step 3: Cross multiply
    1,678.19x = 2,315.84 × 932.09
  4. Step 4: Simplify right side
    1,678.19x = 2,158,555.07
  5. Step 5: Solve for x
    x = 2,158,555.07/1,678.19
  6. Step 6: Final answer
    x = 1,286.24

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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.