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Finding the Fourth Proportional to 2,393.78, 3,588.62 and 1,162.04

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Solution

The fourth proportional to 2,393.78, 3,588.62 and 1,162.04 is: 1,742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.78 : 3,588.62 = 1,162.04 : x
  2. Step 2: Convert to fraction form
    2,393.78/3,588.62 = 1,162.04/x
  3. Step 3: Cross multiply
    2,393.78x = 3,588.62 × 1,162.04
  4. Step 4: Simplify right side
    2,393.78x = 4,170,119.98
  5. Step 5: Solve for x
    x = 4,170,119.98/2,393.78
  6. Step 6: Final answer
    x = 1,742.06

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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.