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Finding the Fourth Proportional to 2,099.99, 3,150.34 and 713.45

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Solution

The fourth proportional to 2,099.99, 3,150.34 and 713.45 is: 1,070.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.99 : 3,150.34 = 713.45 : x
  2. Step 2: Convert to fraction form
    2,099.99/3,150.34 = 713.45/x
  3. Step 3: Cross multiply
    2,099.99x = 3,150.34 × 713.45
  4. Step 4: Simplify right side
    2,099.99x = 2,247,616.17
  5. Step 5: Solve for x
    x = 2,247,616.17/2,099.99
  6. Step 6: Final answer
    x = 1,070.30

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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.