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Finding the Fourth Proportional to 2,340.87, 3,510.02 and 1,170.14

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Solution

The fourth proportional to 2,340.87, 3,510.02 and 1,170.14 is: 1,754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.87 : 3,510.02 = 1,170.14 : x
  2. Step 2: Convert to fraction form
    2,340.87/3,510.02 = 1,170.14/x
  3. Step 3: Cross multiply
    2,340.87x = 3,510.02 × 1,170.14
  4. Step 4: Simplify right side
    2,340.87x = 4,107,191.40
  5. Step 5: Solve for x
    x = 4,107,191.40/2,340.87
  6. Step 6: Final answer
    x = 1,754.56

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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.