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Finding the Fourth Proportional to 2,297.56, 3,444.63 and 1,144.12

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Solution

The fourth proportional to 2,297.56, 3,444.63 and 1,144.12 is: 1,715.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.56 : 3,444.63 = 1,144.12 : x
  2. Step 2: Convert to fraction form
    2,297.56/3,444.63 = 1,144.12/x
  3. Step 3: Cross multiply
    2,297.56x = 3,444.63 × 1,144.12
  4. Step 4: Simplify right side
    2,297.56x = 3,941,070.08
  5. Step 5: Solve for x
    x = 3,941,070.08/2,297.56
  6. Step 6: Final answer
    x = 1,715.33

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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.