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Finding the Fourth Proportional to 2,208.36, 3,309.92 and 973.18

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Solution

The fourth proportional to 2,208.36, 3,309.92 and 973.18 is: 1,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.36 : 3,309.92 = 973.18 : x
  2. Step 2: Convert to fraction form
    2,208.36/3,309.92 = 973.18/x
  3. Step 3: Cross multiply
    2,208.36x = 3,309.92 × 973.18
  4. Step 4: Simplify right side
    2,208.36x = 3,221,147.95
  5. Step 5: Solve for x
    x = 3,221,147.95/2,208.36
  6. Step 6: Final answer
    x = 1,458.62

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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.