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Finding the Fourth Proportional to 4,468.64, 6,697.96 and 2,097.88

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Solution

The fourth proportional to 4,468.64, 6,697.96 and 2,097.88 is: 3,144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.64 : 6,697.96 = 2,097.88 : x
  2. Step 2: Convert to fraction form
    4,468.64/6,697.96 = 2,097.88/x
  3. Step 3: Cross multiply
    4,468.64x = 6,697.96 × 2,097.88
  4. Step 4: Simplify right side
    4,468.64x = 14,051,516.32
  5. Step 5: Solve for x
    x = 14,051,516.32/4,468.64
  6. Step 6: Final answer
    x = 3,144.47

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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.