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Finding the Fourth Proportional to 2,716.40, 4,074.24 and 1,156.11

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Solution

The fourth proportional to 2,716.40, 4,074.24 and 1,156.11 is: 1,734.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.40 : 4,074.24 = 1,156.11 : x
  2. Step 2: Convert to fraction form
    2,716.40/4,074.24 = 1,156.11/x
  3. Step 3: Cross multiply
    2,716.40x = 4,074.24 × 1,156.11
  4. Step 4: Simplify right side
    2,716.40x = 4,710,269.61
  5. Step 5: Solve for x
    x = 4,710,269.61/2,716.40
  6. Step 6: Final answer
    x = 1,734.01

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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.