Home / 1,521.19-2,099.24-822.56

Finding the Fourth Proportional to 1,521.19, 2,099.24 and 822.56

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Solution

The fourth proportional to 1,521.19, 2,099.24 and 822.56 is: 1,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.19 : 2,099.24 = 822.56 : x
  2. Step 2: Convert to fraction form
    1,521.19/2,099.24 = 822.56/x
  3. Step 3: Cross multiply
    1,521.19x = 2,099.24 × 822.56
  4. Step 4: Simplify right side
    1,521.19x = 1,726,758.16
  5. Step 5: Solve for x
    x = 1,726,758.16/1,521.19
  6. Step 6: Final answer
    x = 1,135.14

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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.