Home / 1,529.30-2,110.44-830.67

Finding the Fourth Proportional to 1,529.30, 2,110.44 and 830.67

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Solution

The fourth proportional to 1,529.30, 2,110.44 and 830.67 is: 1,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.30 : 2,110.44 = 830.67 : x
  2. Step 2: Convert to fraction form
    1,529.30/2,110.44 = 830.67/x
  3. Step 3: Cross multiply
    1,529.30x = 2,110.44 × 830.67
  4. Step 4: Simplify right side
    1,529.30x = 1,753,079.19
  5. Step 5: Solve for x
    x = 1,753,079.19/1,529.30
  6. Step 6: Final answer
    x = 1,146.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.