Home / 1,521.40-2,099.32-849.13

Finding the Fourth Proportional to 1,521.40, 2,099.32 and 849.13

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Solution

The fourth proportional to 1,521.40, 2,099.32 and 849.13 is: 1,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.40 : 2,099.32 = 849.13 : x
  2. Step 2: Convert to fraction form
    1,521.40/2,099.32 = 849.13/x
  3. Step 3: Cross multiply
    1,521.40x = 2,099.32 × 849.13
  4. Step 4: Simplify right side
    1,521.40x = 1,782,585.10
  5. Step 5: Solve for x
    x = 1,782,585.10/1,521.40
  6. Step 6: Final answer
    x = 1,171.68

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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.