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Finding the Fourth Proportional to 3,252.84, 4,877.76 and 1,608.72

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Solution

The fourth proportional to 3,252.84, 4,877.76 and 1,608.72 is: 2,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.84 : 4,877.76 = 1,608.72 : x
  2. Step 2: Convert to fraction form
    3,252.84/4,877.76 = 1,608.72/x
  3. Step 3: Cross multiply
    3,252.84x = 4,877.76 × 1,608.72
  4. Step 4: Simplify right side
    3,252.84x = 7,846,950.07
  5. Step 5: Solve for x
    x = 7,846,950.07/3,252.84
  6. Step 6: Final answer
    x = 2,412.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.