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Finding the Fourth Proportional to 2,115.48, 3,174.05 and 1,531.23

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Solution

The fourth proportional to 2,115.48, 3,174.05 and 1,531.23 is: 2,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.48 : 3,174.05 = 1,531.23 : x
  2. Step 2: Convert to fraction form
    2,115.48/3,174.05 = 1,531.23/x
  3. Step 3: Cross multiply
    2,115.48x = 3,174.05 × 1,531.23
  4. Step 4: Simplify right side
    2,115.48x = 4,860,200.58
  5. Step 5: Solve for x
    x = 4,860,200.58/2,115.48
  6. Step 6: Final answer
    x = 2,297.45

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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.