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Finding the Fourth Proportional to 2,271.30, 3,406.01 and 710.78

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Solution

The fourth proportional to 2,271.30, 3,406.01 and 710.78 is: 1,065.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.30 : 3,406.01 = 710.78 : x
  2. Step 2: Convert to fraction form
    2,271.30/3,406.01 = 710.78/x
  3. Step 3: Cross multiply
    2,271.30x = 3,406.01 × 710.78
  4. Step 4: Simplify right side
    2,271.30x = 2,420,923.79
  5. Step 5: Solve for x
    x = 2,420,923.79/2,271.30
  6. Step 6: Final answer
    x = 1,065.88

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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.