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Finding the Fourth Proportional to 2,689.40, 3,711.22 and 1,510.25

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Solution

The fourth proportional to 2,689.40, 3,711.22 and 1,510.25 is: 2,084.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.40 : 3,711.22 = 1,510.25 : x
  2. Step 2: Convert to fraction form
    2,689.40/3,711.22 = 1,510.25/x
  3. Step 3: Cross multiply
    2,689.40x = 3,711.22 × 1,510.25
  4. Step 4: Simplify right side
    2,689.40x = 5,604,847.67
  5. Step 5: Solve for x
    x = 5,604,847.67/2,689.40
  6. Step 6: Final answer
    x = 2,084.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.