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Finding the Fourth Proportional to 3,143.56, 4,342 and 2,302.96

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Solution

The fourth proportional to 3,143.56, 4,342 and 2,302.96 is: 3,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.56 : 4,342 = 2,302.96 : x
  2. Step 2: Convert to fraction form
    3,143.56/4,342 = 2,302.96/x
  3. Step 3: Cross multiply
    3,143.56x = 4,342 × 2,302.96
  4. Step 4: Simplify right side
    3,143.56x = 9,999,452.32
  5. Step 5: Solve for x
    x = 9,999,452.32/3,143.56
  6. Step 6: Final answer
    x = 3,180.93

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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.