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Finding the Fourth Proportional to 2,716.58, 4,074.08 and 1,156.57

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Solution

The fourth proportional to 2,716.58, 4,074.08 and 1,156.57 is: 1,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.58 : 4,074.08 = 1,156.57 : x
  2. Step 2: Convert to fraction form
    2,716.58/4,074.08 = 1,156.57/x
  3. Step 3: Cross multiply
    2,716.58x = 4,074.08 × 1,156.57
  4. Step 4: Simplify right side
    2,716.58x = 4,711,942.74
  5. Step 5: Solve for x
    x = 4,711,942.74/2,716.58
  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.