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Finding the Fourth Proportional to 2,913.06, 4,367.17 and 1,156.98

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Solution

The fourth proportional to 2,913.06, 4,367.17 and 1,156.98 is: 1,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.06 : 4,367.17 = 1,156.98 : x
  2. Step 2: Convert to fraction form
    2,913.06/4,367.17 = 1,156.98/x
  3. Step 3: Cross multiply
    2,913.06x = 4,367.17 × 1,156.98
  4. Step 4: Simplify right side
    2,913.06x = 5,052,729.79
  5. Step 5: Solve for x
    x = 5,052,729.79/2,913.06
  6. Step 6: Final answer
    x = 1,734.51

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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.