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Finding the Fourth Proportional to 2,647.76, 3,651.36 and 2,118.32

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Solution

The fourth proportional to 2,647.76, 3,651.36 and 2,118.32 is: 2,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.76 : 3,651.36 = 2,118.32 : x
  2. Step 2: Convert to fraction form
    2,647.76/3,651.36 = 2,118.32/x
  3. Step 3: Cross multiply
    2,647.76x = 3,651.36 × 2,118.32
  4. Step 4: Simplify right side
    2,647.76x = 7,734,748.92
  5. Step 5: Solve for x
    x = 7,734,748.92/2,647.76
  6. Step 6: Final answer
    x = 2,921.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.