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Finding the Fourth Proportional to 2,234.64, 3,083.54 and 1,239.68

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Solution

The fourth proportional to 2,234.64, 3,083.54 and 1,239.68 is: 1,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.64 : 3,083.54 = 1,239.68 : x
  2. Step 2: Convert to fraction form
    2,234.64/3,083.54 = 1,239.68/x
  3. Step 3: Cross multiply
    2,234.64x = 3,083.54 × 1,239.68
  4. Step 4: Simplify right side
    2,234.64x = 3,822,602.87
  5. Step 5: Solve for x
    x = 3,822,602.87/2,234.64
  6. Step 6: Final answer
    x = 1,710.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.