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Finding the Fourth Proportional to 2,699.05, 4,049.10 and 944.55

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Solution

The fourth proportional to 2,699.05, 4,049.10 and 944.55 is: 1,417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.05 : 4,049.10 = 944.55 : x
  2. Step 2: Convert to fraction form
    2,699.05/4,049.10 = 944.55/x
  3. Step 3: Cross multiply
    2,699.05x = 4,049.10 × 944.55
  4. Step 4: Simplify right side
    2,699.05x = 3,824,573.04
  5. Step 5: Solve for x
    x = 3,824,573.04/2,699.05
  6. Step 6: Final answer
    x = 1,417.01

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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.