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Finding the Fourth Proportional to 2,205.06, 3,308.10 and 972.82

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Solution

The fourth proportional to 2,205.06, 3,308.10 and 972.82 is: 1,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.06 : 3,308.10 = 972.82 : x
  2. Step 2: Convert to fraction form
    2,205.06/3,308.10 = 972.82/x
  3. Step 3: Cross multiply
    2,205.06x = 3,308.10 × 972.82
  4. Step 4: Simplify right side
    2,205.06x = 3,218,185.84
  5. Step 5: Solve for x
    x = 3,218,185.84/2,205.06
  6. Step 6: Final answer
    x = 1,459.45

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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.