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Finding the Fourth Proportional to 2,352.82, 3,248.22 and 1,607.86

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Solution

The fourth proportional to 2,352.82, 3,248.22 and 1,607.86 is: 2,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.82 : 3,248.22 = 1,607.86 : x
  2. Step 2: Convert to fraction form
    2,352.82/3,248.22 = 1,607.86/x
  3. Step 3: Cross multiply
    2,352.82x = 3,248.22 × 1,607.86
  4. Step 4: Simplify right side
    2,352.82x = 5,222,683.01
  5. Step 5: Solve for x
    x = 5,222,683.01/2,352.82
  6. Step 6: Final answer
    x = 2,219.75

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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.