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Finding the Fourth Proportional to 2,212.99, 3,318.10 and 945.07

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Solution

The fourth proportional to 2,212.99, 3,318.10 and 945.07 is: 1,417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.99 : 3,318.10 = 945.07 : x
  2. Step 2: Convert to fraction form
    2,212.99/3,318.10 = 945.07/x
  3. Step 3: Cross multiply
    2,212.99x = 3,318.10 × 945.07
  4. Step 4: Simplify right side
    2,212.99x = 3,135,826.11
  5. Step 5: Solve for x
    x = 3,135,826.11/2,212.99
  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.