Home / 1,928.17-2,892.25-467.32

Finding the Fourth Proportional to 1,928.17, 2,892.25 and 467.32

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Solution

The fourth proportional to 1,928.17, 2,892.25 and 467.32 is: 700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.17 : 2,892.25 = 467.32 : x
  2. Step 2: Convert to fraction form
    1,928.17/2,892.25 = 467.32/x
  3. Step 3: Cross multiply
    1,928.17x = 2,892.25 × 467.32
  4. Step 4: Simplify right side
    1,928.17x = 1,351,591.81
  5. Step 5: Solve for x
    x = 1,351,591.81/1,928.17
  6. Step 6: Final answer
    x = 700.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.