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Finding the Fourth Proportional to 2,297.52, 3,444.59 and 736.62

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Solution

The fourth proportional to 2,297.52, 3,444.59 and 736.62 is: 1,104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.52 : 3,444.59 = 736.62 : x
  2. Step 2: Convert to fraction form
    2,297.52/3,444.59 = 736.62/x
  3. Step 3: Cross multiply
    2,297.52x = 3,444.59 × 736.62
  4. Step 4: Simplify right side
    2,297.52x = 2,537,353.89
  5. Step 5: Solve for x
    x = 2,537,353.89/2,297.52
  6. Step 6: Final answer
    x = 1,104.39

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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.