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Finding the Fourth Proportional to 2,307.11, 3,461.25 and 663.78

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Solution

The fourth proportional to 2,307.11, 3,461.25 and 663.78 is: 995.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.11 : 3,461.25 = 663.78 : x
  2. Step 2: Convert to fraction form
    2,307.11/3,461.25 = 663.78/x
  3. Step 3: Cross multiply
    2,307.11x = 3,461.25 × 663.78
  4. Step 4: Simplify right side
    2,307.11x = 2,297,508.53
  5. Step 5: Solve for x
    x = 2,297,508.53/2,307.11
  6. Step 6: Final answer
    x = 995.84

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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.