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Finding the Fourth Proportional to 3,212.17, 4,822.67 and 1,653.46

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Solution

The fourth proportional to 3,212.17, 4,822.67 and 1,653.46 is: 2,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.17 : 4,822.67 = 1,653.46 : x
  2. Step 2: Convert to fraction form
    3,212.17/4,822.67 = 1,653.46/x
  3. Step 3: Cross multiply
    3,212.17x = 4,822.67 × 1,653.46
  4. Step 4: Simplify right side
    3,212.17x = 7,974,091.94
  5. Step 5: Solve for x
    x = 7,974,091.94/3,212.17
  6. Step 6: Final answer
    x = 2,482.46

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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.