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Finding the Fourth Proportional to 3,096.40, 4,271.40 and 1,917.04

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Solution

The fourth proportional to 3,096.40, 4,271.40 and 1,917.04 is: 2,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.40 : 4,271.40 = 1,917.04 : x
  2. Step 2: Convert to fraction form
    3,096.40/4,271.40 = 1,917.04/x
  3. Step 3: Cross multiply
    3,096.40x = 4,271.40 × 1,917.04
  4. Step 4: Simplify right side
    3,096.40x = 8,188,444.66
  5. Step 5: Solve for x
    x = 8,188,444.66/3,096.40
  6. Step 6: Final answer
    x = 2,644.50

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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.