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Finding the Fourth Proportional to 3,307.34, 4,961.10 and 998.84

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Solution

The fourth proportional to 3,307.34, 4,961.10 and 998.84 is: 1,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.34 : 4,961.10 = 998.84 : x
  2. Step 2: Convert to fraction form
    3,307.34/4,961.10 = 998.84/x
  3. Step 3: Cross multiply
    3,307.34x = 4,961.10 × 998.84
  4. Step 4: Simplify right side
    3,307.34x = 4,955,345.12
  5. Step 5: Solve for x
    x = 4,955,345.12/3,307.34
  6. Step 6: Final answer
    x = 1,498.29

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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.