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Finding the Fourth Proportional to 2,207.63, 3,311.53 and 564.22

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Solution

The fourth proportional to 2,207.63, 3,311.53 and 564.22 is: 846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.63 : 3,311.53 = 564.22 : x
  2. Step 2: Convert to fraction form
    2,207.63/3,311.53 = 564.22/x
  3. Step 3: Cross multiply
    2,207.63x = 3,311.53 × 564.22
  4. Step 4: Simplify right side
    2,207.63x = 1,868,431.46
  5. Step 5: Solve for x
    x = 1,868,431.46/2,207.63
  6. Step 6: Final answer
    x = 846.35

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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.