Home / 1,549.20-2,322.64-932.76

Finding the Fourth Proportional to 1,549.20, 2,322.64 and 932.76

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Solution

The fourth proportional to 1,549.20, 2,322.64 and 932.76 is: 1,398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.20 : 2,322.64 = 932.76 : x
  2. Step 2: Convert to fraction form
    1,549.20/2,322.64 = 932.76/x
  3. Step 3: Cross multiply
    1,549.20x = 2,322.64 × 932.76
  4. Step 4: Simplify right side
    1,549.20x = 2,166,465.69
  5. Step 5: Solve for x
    x = 2,166,465.69/1,549.20
  6. Step 6: Final answer
    x = 1,398.44

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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.