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Finding the Fourth Proportional to 2,214.64, 3,322.23 and 753.94

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Solution

The fourth proportional to 2,214.64, 3,322.23 and 753.94 is: 1,131.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.64 : 3,322.23 = 753.94 : x
  2. Step 2: Convert to fraction form
    2,214.64/3,322.23 = 753.94/x
  3. Step 3: Cross multiply
    2,214.64x = 3,322.23 × 753.94
  4. Step 4: Simplify right side
    2,214.64x = 2,504,762.09
  5. Step 5: Solve for x
    x = 2,504,762.09/2,214.64
  6. Step 6: Final answer
    x = 1,131.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.