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Finding the Fourth Proportional to 3,214.04, 4,821.86 and 1,266.39

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Solution

The fourth proportional to 3,214.04, 4,821.86 and 1,266.39 is: 1,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.04 : 4,821.86 = 1,266.39 : x
  2. Step 2: Convert to fraction form
    3,214.04/4,821.86 = 1,266.39/x
  3. Step 3: Cross multiply
    3,214.04x = 4,821.86 × 1,266.39
  4. Step 4: Simplify right side
    3,214.04x = 6,106,348.95
  5. Step 5: Solve for x
    x = 6,106,348.95/3,214.04
  6. Step 6: Final answer
    x = 1,899.90

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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.