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Finding the Fourth Proportional to 2,205.13, 3,307.74 and 666.13

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Solution

The fourth proportional to 2,205.13, 3,307.74 and 666.13 is: 999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.13 : 3,307.74 = 666.13 : x
  2. Step 2: Convert to fraction form
    2,205.13/3,307.74 = 666.13/x
  3. Step 3: Cross multiply
    2,205.13x = 3,307.74 × 666.13
  4. Step 4: Simplify right side
    2,205.13x = 2,203,384.85
  5. Step 5: Solve for x
    x = 2,203,384.85/2,205.13
  6. Step 6: Final answer
    x = 999.21

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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.