Home / 1,529.44-2,110.64-830.81

Finding the Fourth Proportional to 1,529.44, 2,110.64 and 830.81

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Solution

The fourth proportional to 1,529.44, 2,110.64 and 830.81 is: 1,146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.44 : 2,110.64 = 830.81 : x
  2. Step 2: Convert to fraction form
    1,529.44/2,110.64 = 830.81/x
  3. Step 3: Cross multiply
    1,529.44x = 2,110.64 × 830.81
  4. Step 4: Simplify right side
    1,529.44x = 1,753,541.94
  5. Step 5: Solve for x
    x = 1,753,541.94/1,529.44
  6. Step 6: Final answer
    x = 1,146.53

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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.