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Finding the Fourth Proportional to 3,133.44, 4,321.65 and 2,014.50

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Solution

The fourth proportional to 3,133.44, 4,321.65 and 2,014.50 is: 2,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.44 : 4,321.65 = 2,014.50 : x
  2. Step 2: Convert to fraction form
    3,133.44/4,321.65 = 2,014.50/x
  3. Step 3: Cross multiply
    3,133.44x = 4,321.65 × 2,014.50
  4. Step 4: Simplify right side
    3,133.44x = 8,705,963.93
  5. Step 5: Solve for x
    x = 8,705,963.93/3,133.44
  6. Step 6: Final answer
    x = 2,778.40

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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.