Home / 1,529.06-2,110.10-830.43

Finding the Fourth Proportional to 1,529.06, 2,110.10 and 830.43

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Solution

The fourth proportional to 1,529.06, 2,110.10 and 830.43 is: 1,146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.06 : 2,110.10 = 830.43 : x
  2. Step 2: Convert to fraction form
    1,529.06/2,110.10 = 830.43/x
  3. Step 3: Cross multiply
    1,529.06x = 2,110.10 × 830.43
  4. Step 4: Simplify right side
    1,529.06x = 1,752,295.66
  5. Step 5: Solve for x
    x = 1,752,295.66/1,529.06
  6. Step 6: Final answer
    x = 1,146.00

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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.