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Finding the Fourth Proportional to 3,214.33, 4,821.42 and 1,482.95

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Solution

The fourth proportional to 3,214.33, 4,821.42 and 1,482.95 is: 2,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.33 : 4,821.42 = 1,482.95 : x
  2. Step 2: Convert to fraction form
    3,214.33/4,821.42 = 1,482.95/x
  3. Step 3: Cross multiply
    3,214.33x = 4,821.42 × 1,482.95
  4. Step 4: Simplify right side
    3,214.33x = 7,149,924.79
  5. Step 5: Solve for x
    x = 7,149,924.79/3,214.33
  6. Step 6: Final answer
    x = 2,224.39

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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.