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Finding the Fourth Proportional to 4,464.15, 6,697.17 and 1,690.77

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Solution

The fourth proportional to 4,464.15, 6,697.17 and 1,690.77 is: 2,536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.15 : 6,697.17 = 1,690.77 : x
  2. Step 2: Convert to fraction form
    4,464.15/6,697.17 = 1,690.77/x
  3. Step 3: Cross multiply
    4,464.15x = 6,697.17 × 1,690.77
  4. Step 4: Simplify right side
    4,464.15x = 11,323,374.12
  5. Step 5: Solve for x
    x = 11,323,374.12/4,464.15
  6. Step 6: Final answer
    x = 2,536.51

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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.