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Finding the Fourth Proportional to 2,611.23, 3,916.95 and 663.45

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Solution

The fourth proportional to 2,611.23, 3,916.95 and 663.45 is: 995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.23 : 3,916.95 = 663.45 : x
  2. Step 2: Convert to fraction form
    2,611.23/3,916.95 = 663.45/x
  3. Step 3: Cross multiply
    2,611.23x = 3,916.95 × 663.45
  4. Step 4: Simplify right side
    2,611.23x = 2,598,700.48
  5. Step 5: Solve for x
    x = 2,598,700.48/2,611.23
  6. Step 6: Final answer
    x = 995.20

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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.