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Finding the Fourth Proportional to 2,271.79, 3,400.37 and 1,174.65

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Solution

The fourth proportional to 2,271.79, 3,400.37 and 1,174.65 is: 1,758.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.79 : 3,400.37 = 1,174.65 : x
  2. Step 2: Convert to fraction form
    2,271.79/3,400.37 = 1,174.65/x
  3. Step 3: Cross multiply
    2,271.79x = 3,400.37 × 1,174.65
  4. Step 4: Simplify right side
    2,271.79x = 3,994,221.75
  5. Step 5: Solve for x
    x = 3,994,221.75/2,271.79
  6. Step 6: Final answer
    x = 1,758.18

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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.