Home / 1,529.47-2,110.65-830.85

Finding the Fourth Proportional to 1,529.47, 2,110.65 and 830.85

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Solution

The fourth proportional to 1,529.47, 2,110.65 and 830.85 is: 1,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.47 : 2,110.65 = 830.85 : x
  2. Step 2: Convert to fraction form
    1,529.47/2,110.65 = 830.85/x
  3. Step 3: Cross multiply
    1,529.47x = 2,110.65 × 830.85
  4. Step 4: Simplify right side
    1,529.47x = 1,753,633.55
  5. Step 5: Solve for x
    x = 1,753,633.55/1,529.47
  6. Step 6: Final answer
    x = 1,146.56

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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.