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Finding the Fourth Proportional to 2,271.98, 3,406.58 and 790.86

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Solution

The fourth proportional to 2,271.98, 3,406.58 and 790.86 is: 1,185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.98 : 3,406.58 = 790.86 : x
  2. Step 2: Convert to fraction form
    2,271.98/3,406.58 = 790.86/x
  3. Step 3: Cross multiply
    2,271.98x = 3,406.58 × 790.86
  4. Step 4: Simplify right side
    2,271.98x = 2,694,123.90
  5. Step 5: Solve for x
    x = 2,694,123.90/2,271.98
  6. Step 6: Final answer
    x = 1,185.81

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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.