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Finding the Fourth Proportional to 3,131.64, 4,695.98 and 1,156.62

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Solution

The fourth proportional to 3,131.64, 4,695.98 and 1,156.62 is: 1,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.64 : 4,695.98 = 1,156.62 : x
  2. Step 2: Convert to fraction form
    3,131.64/4,695.98 = 1,156.62/x
  3. Step 3: Cross multiply
    3,131.64x = 4,695.98 × 1,156.62
  4. Step 4: Simplify right side
    3,131.64x = 5,431,458.60
  5. Step 5: Solve for x
    x = 5,431,458.60/3,131.64
  6. Step 6: Final answer
    x = 1,734.38

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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.