Home / 1,561.21-2,154.46-932.15

Finding the Fourth Proportional to 1,561.21, 2,154.46 and 932.15

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Solution

The fourth proportional to 1,561.21, 2,154.46 and 932.15 is: 1,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.21 : 2,154.46 = 932.15 : x
  2. Step 2: Convert to fraction form
    1,561.21/2,154.46 = 932.15/x
  3. Step 3: Cross multiply
    1,561.21x = 2,154.46 × 932.15
  4. Step 4: Simplify right side
    1,561.21x = 2,008,269.12
  5. Step 5: Solve for x
    x = 2,008,269.12/1,561.21
  6. Step 6: Final answer
    x = 1,286.35

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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.