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Finding the Fourth Proportional to 2,205.54, 3,308.15 and 562.10

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Solution

The fourth proportional to 2,205.54, 3,308.15 and 562.10 is: 843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.54 : 3,308.15 = 562.10 : x
  2. Step 2: Convert to fraction form
    2,205.54/3,308.15 = 562.10/x
  3. Step 3: Cross multiply
    2,205.54x = 3,308.15 × 562.10
  4. Step 4: Simplify right side
    2,205.54x = 1,859,495.98
  5. Step 5: Solve for x
    x = 1,859,495.98/2,205.54
  6. Step 6: Final answer
    x = 843.10

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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.