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Finding the Fourth Proportional to 2,188.31, 3,019.50 and 1,256.63

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Solution

The fourth proportional to 2,188.31, 3,019.50 and 1,256.63 is: 1,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.31 : 3,019.50 = 1,256.63 : x
  2. Step 2: Convert to fraction form
    2,188.31/3,019.50 = 1,256.63/x
  3. Step 3: Cross multiply
    2,188.31x = 3,019.50 × 1,256.63
  4. Step 4: Simplify right side
    2,188.31x = 3,794,379.19
  5. Step 5: Solve for x
    x = 3,794,379.19/2,188.31
  6. Step 6: Final answer
    x = 1,733.94

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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.