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Finding the Fourth Proportional to 1,529.00, 2,110.07 and 865.85

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Solution

The fourth proportional to 1,529.00, 2,110.07 and 865.85 is: 1,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.00 : 2,110.07 = 865.85 : x
  2. Step 2: Convert to fraction form
    1,529.00/2,110.07 = 865.85/x
  3. Step 3: Cross multiply
    1,529.00x = 2,110.07 × 865.85
  4. Step 4: Simplify right side
    1,529.00x = 1,826,989.23
  5. Step 5: Solve for x
    x = 1,826,989.23/1,529.00
  6. Step 6: Final answer
    x = 1,194.90

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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.