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Finding the Fourth Proportional to 2,889.78, 4,331.63 and 1,406.81

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Solution

The fourth proportional to 2,889.78, 4,331.63 and 1,406.81 is: 2,108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.78 : 4,331.63 = 1,406.81 : x
  2. Step 2: Convert to fraction form
    2,889.78/4,331.63 = 1,406.81/x
  3. Step 3: Cross multiply
    2,889.78x = 4,331.63 × 1,406.81
  4. Step 4: Simplify right side
    2,889.78x = 6,093,762.26
  5. Step 5: Solve for x
    x = 6,093,762.26/2,889.78
  6. Step 6: Final answer
    x = 2,108.73

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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.