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Finding the Fourth Proportional to 2,095.34, 3,140.24 and 861.03

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Solution

The fourth proportional to 2,095.34, 3,140.24 and 861.03 is: 1,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.34 : 3,140.24 = 861.03 : x
  2. Step 2: Convert to fraction form
    2,095.34/3,140.24 = 861.03/x
  3. Step 3: Cross multiply
    2,095.34x = 3,140.24 × 861.03
  4. Step 4: Simplify right side
    2,095.34x = 2,703,836.54
  5. Step 5: Solve for x
    x = 2,703,836.54/2,095.34
  6. Step 6: Final answer
    x = 1,290.41

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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.