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Finding the Fourth Proportional to 2,061.30, 3,091.08 and 874.86

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Solution

The fourth proportional to 2,061.30, 3,091.08 and 874.86 is: 1,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.30 : 3,091.08 = 874.86 : x
  2. Step 2: Convert to fraction form
    2,061.30/3,091.08 = 874.86/x
  3. Step 3: Cross multiply
    2,061.30x = 3,091.08 × 874.86
  4. Step 4: Simplify right side
    2,061.30x = 2,704,262.25
  5. Step 5: Solve for x
    x = 2,704,262.25/2,061.30
  6. Step 6: Final answer
    x = 1,311.92

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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.