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Finding the Fourth Proportional to 2,035.13, 3,050.97 and 865.08

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Solution

The fourth proportional to 2,035.13, 3,050.97 and 865.08 is: 1,296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.13 : 3,050.97 = 865.08 : x
  2. Step 2: Convert to fraction form
    2,035.13/3,050.97 = 865.08/x
  3. Step 3: Cross multiply
    2,035.13x = 3,050.97 × 865.08
  4. Step 4: Simplify right side
    2,035.13x = 2,639,329.88
  5. Step 5: Solve for x
    x = 2,639,329.88/2,035.13
  6. Step 6: Final answer
    x = 1,296.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.