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Finding the Fourth Proportional to 2,209.00, 3,048.49 and 1,214.30

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Solution

The fourth proportional to 2,209.00, 3,048.49 and 1,214.30 is: 1,675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.00 : 3,048.49 = 1,214.30 : x
  2. Step 2: Convert to fraction form
    2,209.00/3,048.49 = 1,214.30/x
  3. Step 3: Cross multiply
    2,209.00x = 3,048.49 × 1,214.30
  4. Step 4: Simplify right side
    2,209.00x = 3,701,763.13
  5. Step 5: Solve for x
    x = 3,701,763.13/2,209.00
  6. Step 6: Final answer
    x = 1,675.77

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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.