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Finding the Fourth Proportional to 3,390.98, 4,679.32 and 2,271.74

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Solution

The fourth proportional to 3,390.98, 4,679.32 and 2,271.74 is: 3,134.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.98 : 4,679.32 = 2,271.74 : x
  2. Step 2: Convert to fraction form
    3,390.98/4,679.32 = 2,271.74/x
  3. Step 3: Cross multiply
    3,390.98x = 4,679.32 × 2,271.74
  4. Step 4: Simplify right side
    3,390.98x = 10,630,169.34
  5. Step 5: Solve for x
    x = 10,630,169.34/3,390.98
  6. Step 6: Final answer
    x = 3,134.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.