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Finding the Fourth Proportional to 2,260.69, 3,391.55 and 874.03

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Solution

The fourth proportional to 2,260.69, 3,391.55 and 874.03 is: 1,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.69 : 3,391.55 = 874.03 : x
  2. Step 2: Convert to fraction form
    2,260.69/3,391.55 = 874.03/x
  3. Step 3: Cross multiply
    2,260.69x = 3,391.55 × 874.03
  4. Step 4: Simplify right side
    2,260.69x = 2,964,316.45
  5. Step 5: Solve for x
    x = 2,964,316.45/2,260.69
  6. Step 6: Final answer
    x = 1,311.24

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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.