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Finding the Fourth Proportional to 3,307.10, 4,960.65 and 998.30

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Solution

The fourth proportional to 3,307.10, 4,960.65 and 998.30 is: 1,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.10 : 4,960.65 = 998.30 : x
  2. Step 2: Convert to fraction form
    3,307.10/4,960.65 = 998.30/x
  3. Step 3: Cross multiply
    3,307.10x = 4,960.65 × 998.30
  4. Step 4: Simplify right side
    3,307.10x = 4,952,216.90
  5. Step 5: Solve for x
    x = 4,952,216.90/3,307.10
  6. Step 6: Final answer
    x = 1,497.45

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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.