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Finding the Fourth Proportional to 2,297.30, 3,445.92 and 1,593.86

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Solution

The fourth proportional to 2,297.30, 3,445.92 and 1,593.86 is: 2,390.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.30 : 3,445.92 = 1,593.86 : x
  2. Step 2: Convert to fraction form
    2,297.30/3,445.92 = 1,593.86/x
  3. Step 3: Cross multiply
    2,297.30x = 3,445.92 × 1,593.86
  4. Step 4: Simplify right side
    2,297.30x = 5,492,314.05
  5. Step 5: Solve for x
    x = 5,492,314.05/2,297.30
  6. Step 6: Final answer
    x = 2,390.77

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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.