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Finding the Fourth Proportional to 2,208.06, 3,310.98 and 974.03

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Solution

The fourth proportional to 2,208.06, 3,310.98 and 974.03 is: 1,460.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.06 : 3,310.98 = 974.03 : x
  2. Step 2: Convert to fraction form
    2,208.06/3,310.98 = 974.03/x
  3. Step 3: Cross multiply
    2,208.06x = 3,310.98 × 974.03
  4. Step 4: Simplify right side
    2,208.06x = 3,224,973.64
  5. Step 5: Solve for x
    x = 3,224,973.64/2,208.06
  6. Step 6: Final answer
    x = 1,460.55

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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.