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Finding the Fourth Proportional to 4,464.68, 6,697.32 and 1,690.82

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Solution

The fourth proportional to 4,464.68, 6,697.32 and 1,690.82 is: 2,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.68 : 6,697.32 = 1,690.82 : x
  2. Step 2: Convert to fraction form
    4,464.68/6,697.32 = 1,690.82/x
  3. Step 3: Cross multiply
    4,464.68x = 6,697.32 × 1,690.82
  4. Step 4: Simplify right side
    4,464.68x = 11,323,962.60
  5. Step 5: Solve for x
    x = 11,323,962.60/4,464.68
  6. Step 6: Final answer
    x = 2,536.34

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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.