Home / 1,529.19-2,110.27-830.57

Finding the Fourth Proportional to 1,529.19, 2,110.27 and 830.57

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Solution

The fourth proportional to 1,529.19, 2,110.27 and 830.57 is: 1,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.19 : 2,110.27 = 830.57 : x
  2. Step 2: Convert to fraction form
    1,529.19/2,110.27 = 830.57/x
  3. Step 3: Cross multiply
    1,529.19x = 2,110.27 × 830.57
  4. Step 4: Simplify right side
    1,529.19x = 1,752,716.40
  5. Step 5: Solve for x
    x = 1,752,716.40/1,529.19
  6. Step 6: Final answer
    x = 1,146.17

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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.