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Finding the Fourth Proportional to 2,205.79, 3,308.72 and 972.95

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Solution

The fourth proportional to 2,205.79, 3,308.72 and 972.95 is: 1,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.79 : 3,308.72 = 972.95 : x
  2. Step 2: Convert to fraction form
    2,205.79/3,308.72 = 972.95/x
  3. Step 3: Cross multiply
    2,205.79x = 3,308.72 × 972.95
  4. Step 4: Simplify right side
    2,205.79x = 3,219,197.72
  5. Step 5: Solve for x
    x = 3,219,197.72/2,205.79
  6. Step 6: Final answer
    x = 1,459.43

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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.