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Finding the Fourth Proportional to 2,238.86, 3,358.63 and 1,142.63

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Solution

The fourth proportional to 2,238.86, 3,358.63 and 1,142.63 is: 1,714.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.86 : 3,358.63 = 1,142.63 : x
  2. Step 2: Convert to fraction form
    2,238.86/3,358.63 = 1,142.63/x
  3. Step 3: Cross multiply
    2,238.86x = 3,358.63 × 1,142.63
  4. Step 4: Simplify right side
    2,238.86x = 3,837,668.63
  5. Step 5: Solve for x
    x = 3,837,668.63/2,238.86
  6. Step 6: Final answer
    x = 1,714.12

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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.