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Finding the Fourth Proportional to 2,209.03, 3,048.50 and 1,214.25

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Solution

The fourth proportional to 2,209.03, 3,048.50 and 1,214.25 is: 1,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.03 : 3,048.50 = 1,214.25 : x
  2. Step 2: Convert to fraction form
    2,209.03/3,048.50 = 1,214.25/x
  3. Step 3: Cross multiply
    2,209.03x = 3,048.50 × 1,214.25
  4. Step 4: Simplify right side
    2,209.03x = 3,701,625.88
  5. Step 5: Solve for x
    x = 3,701,625.88/2,209.03
  6. Step 6: Final answer
    x = 1,675.68

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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.