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Finding the Fourth Proportional to 2,910.70, 4,017.34 and 1,731.54

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Solution

The fourth proportional to 2,910.70, 4,017.34 and 1,731.54 is: 2,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.70 : 4,017.34 = 1,731.54 : x
  2. Step 2: Convert to fraction form
    2,910.70/4,017.34 = 1,731.54/x
  3. Step 3: Cross multiply
    2,910.70x = 4,017.34 × 1,731.54
  4. Step 4: Simplify right side
    2,910.70x = 6,956,184.90
  5. Step 5: Solve for x
    x = 6,956,184.90/2,910.70
  6. Step 6: Final answer
    x = 2,389.87

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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.