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Finding the Fourth Proportional to 2,297.87, 3,445.42 and 1,031.19

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Solution

The fourth proportional to 2,297.87, 3,445.42 and 1,031.19 is: 1,546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.87 : 3,445.42 = 1,031.19 : x
  2. Step 2: Convert to fraction form
    2,297.87/3,445.42 = 1,031.19/x
  3. Step 3: Cross multiply
    2,297.87x = 3,445.42 × 1,031.19
  4. Step 4: Simplify right side
    2,297.87x = 3,552,891.37
  5. Step 5: Solve for x
    x = 3,552,891.37/2,297.87
  6. Step 6: Final answer
    x = 1,546.16

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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.