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Finding the Fourth Proportional to 2,388.96, 3,297.84 and 1,559.52

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Solution

The fourth proportional to 2,388.96, 3,297.84 and 1,559.52 is: 2,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.96 : 3,297.84 = 1,559.52 : x
  2. Step 2: Convert to fraction form
    2,388.96/3,297.84 = 1,559.52/x
  3. Step 3: Cross multiply
    2,388.96x = 3,297.84 × 1,559.52
  4. Step 4: Simplify right side
    2,388.96x = 5,143,047.44
  5. Step 5: Solve for x
    x = 5,143,047.44/2,388.96
  6. Step 6: Final answer
    x = 2,152.84

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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.