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Finding the Fourth Proportional to 1,529.13, 2,109.99 and 865.83

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Solution

The fourth proportional to 1,529.13, 2,109.99 and 865.83 is: 1,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.13 : 2,109.99 = 865.83 : x
  2. Step 2: Convert to fraction form
    1,529.13/2,109.99 = 865.83/x
  3. Step 3: Cross multiply
    1,529.13x = 2,109.99 × 865.83
  4. Step 4: Simplify right side
    1,529.13x = 1,826,892.64
  5. Step 5: Solve for x
    x = 1,826,892.64/1,529.13
  6. Step 6: Final answer
    x = 1,194.73

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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.