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Finding the Fourth Proportional to 2,311.80, 3,466.84 and 751.40

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Solution

The fourth proportional to 2,311.80, 3,466.84 and 751.40 is: 1,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.80 : 3,466.84 = 751.40 : x
  2. Step 2: Convert to fraction form
    2,311.80/3,466.84 = 751.40/x
  3. Step 3: Cross multiply
    2,311.80x = 3,466.84 × 751.40
  4. Step 4: Simplify right side
    2,311.80x = 2,604,983.58
  5. Step 5: Solve for x
    x = 2,604,983.58/2,311.80
  6. Step 6: Final answer
    x = 1,126.82

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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.