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Finding the Fourth Proportional to 2,332.19, 3,218.13 and 2,269.22

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Solution

The fourth proportional to 2,332.19, 3,218.13 and 2,269.22 is: 3,131.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.19 : 3,218.13 = 2,269.22 : x
  2. Step 2: Convert to fraction form
    2,332.19/3,218.13 = 2,269.22/x
  3. Step 3: Cross multiply
    2,332.19x = 3,218.13 × 2,269.22
  4. Step 4: Simplify right side
    2,332.19x = 7,302,628.87
  5. Step 5: Solve for x
    x = 7,302,628.87/2,332.19
  6. Step 6: Final answer
    x = 3,131.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.