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Finding the Fourth Proportional to 2,205.10, 3,307.63 and 561.63

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Solution

The fourth proportional to 2,205.10, 3,307.63 and 561.63 is: 842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.10 : 3,307.63 = 561.63 : x
  2. Step 2: Convert to fraction form
    2,205.10/3,307.63 = 561.63/x
  3. Step 3: Cross multiply
    2,205.10x = 3,307.63 × 561.63
  4. Step 4: Simplify right side
    2,205.10x = 1,857,664.24
  5. Step 5: Solve for x
    x = 1,857,664.24/2,205.10
  6. Step 6: Final answer
    x = 842.44

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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.