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Finding the Fourth Proportional to 2,352.84, 3,248.82 and 1,608.36

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Solution

The fourth proportional to 2,352.84, 3,248.82 and 1,608.36 is: 2,220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.84 : 3,248.82 = 1,608.36 : x
  2. Step 2: Convert to fraction form
    2,352.84/3,248.82 = 1,608.36/x
  3. Step 3: Cross multiply
    2,352.84x = 3,248.82 × 1,608.36
  4. Step 4: Simplify right side
    2,352.84x = 5,225,272.14
  5. Step 5: Solve for x
    x = 5,225,272.14/2,352.84
  6. Step 6: Final answer
    x = 2,220.84

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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.