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Finding the Fourth Proportional to 2,353.84, 3,248.32 and 1,607.78

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Solution

The fourth proportional to 2,353.84, 3,248.32 and 1,607.78 is: 2,218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.84 : 3,248.32 = 1,607.78 : x
  2. Step 2: Convert to fraction form
    2,353.84/3,248.32 = 1,607.78/x
  3. Step 3: Cross multiply
    2,353.84x = 3,248.32 × 1,607.78
  4. Step 4: Simplify right side
    2,353.84x = 5,222,583.93
  5. Step 5: Solve for x
    x = 5,222,583.93/2,353.84
  6. Step 6: Final answer
    x = 2,218.75

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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.