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Finding the Fourth Proportional to 2,302.98, 3,452.22 and 1,071.24

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Solution

The fourth proportional to 2,302.98, 3,452.22 and 1,071.24 is: 1,605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.98 : 3,452.22 = 1,071.24 : x
  2. Step 2: Convert to fraction form
    2,302.98/3,452.22 = 1,071.24/x
  3. Step 3: Cross multiply
    2,302.98x = 3,452.22 × 1,071.24
  4. Step 4: Simplify right side
    2,302.98x = 3,698,156.15
  5. Step 5: Solve for x
    x = 3,698,156.15/2,302.98
  6. Step 6: Final answer
    x = 1,605.81

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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.