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Finding the Fourth Proportional to 2,171.10, 3,255.69 and 632.22

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Solution

The fourth proportional to 2,171.10, 3,255.69 and 632.22 is: 948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.10 : 3,255.69 = 632.22 : x
  2. Step 2: Convert to fraction form
    2,171.10/3,255.69 = 632.22/x
  3. Step 3: Cross multiply
    2,171.10x = 3,255.69 × 632.22
  4. Step 4: Simplify right side
    2,171.10x = 2,058,312.33
  5. Step 5: Solve for x
    x = 2,058,312.33/2,171.10
  6. Step 6: Final answer
    x = 948.05

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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.