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Finding the Fourth Proportional to 2,342.34, 3,505.01 and 2,072.61

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Solution

The fourth proportional to 2,342.34, 3,505.01 and 2,072.61 is: 3,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.34 : 3,505.01 = 2,072.61 : x
  2. Step 2: Convert to fraction form
    2,342.34/3,505.01 = 2,072.61/x
  3. Step 3: Cross multiply
    2,342.34x = 3,505.01 × 2,072.61
  4. Step 4: Simplify right side
    2,342.34x = 7,264,508.41
  5. Step 5: Solve for x
    x = 7,264,508.41/2,342.34
  6. Step 6: Final answer
    x = 3,101.39

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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.