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Finding the Fourth Proportional to 2,697.77, 4,046.64 and 2,151.02

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Solution

The fourth proportional to 2,697.77, 4,046.64 and 2,151.02 is: 3,226.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.77 : 4,046.64 = 2,151.02 : x
  2. Step 2: Convert to fraction form
    2,697.77/4,046.64 = 2,151.02/x
  3. Step 3: Cross multiply
    2,697.77x = 4,046.64 × 2,151.02
  4. Step 4: Simplify right side
    2,697.77x = 8,704,403.57
  5. Step 5: Solve for x
    x = 8,704,403.57/2,697.77
  6. Step 6: Final answer
    x = 3,226.52

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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.