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Finding the Fourth Proportional to 2,464.88, 3,697.56 and 1,166

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Solution

The fourth proportional to 2,464.88, 3,697.56 and 1,166 is: 1,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.88 : 3,697.56 = 1,166 : x
  2. Step 2: Convert to fraction form
    2,464.88/3,697.56 = 1,166/x
  3. Step 3: Cross multiply
    2,464.88x = 3,697.56 × 1,166
  4. Step 4: Simplify right side
    2,464.88x = 4,311,354.96
  5. Step 5: Solve for x
    x = 4,311,354.96/2,464.88
  6. Step 6: Final answer
    x = 1,749.11

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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.