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Finding the Fourth Proportional to 2,765.84, 4,145.88 and 1,466.96

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Solution

The fourth proportional to 2,765.84, 4,145.88 and 1,466.96 is: 2,198.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.84 : 4,145.88 = 1,466.96 : x
  2. Step 2: Convert to fraction form
    2,765.84/4,145.88 = 1,466.96/x
  3. Step 3: Cross multiply
    2,765.84x = 4,145.88 × 1,466.96
  4. Step 4: Simplify right side
    2,765.84x = 6,081,840.12
  5. Step 5: Solve for x
    x = 6,081,840.12/2,765.84
  6. Step 6: Final answer
    x = 2,198.91

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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.