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Finding the Fourth Proportional to 2,689.34, 3,711.38 and 1,510.56

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Solution

The fourth proportional to 2,689.34, 3,711.38 and 1,510.56 is: 2,084.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.34 : 3,711.38 = 1,510.56 : x
  2. Step 2: Convert to fraction form
    2,689.34/3,711.38 = 1,510.56/x
  3. Step 3: Cross multiply
    2,689.34x = 3,711.38 × 1,510.56
  4. Step 4: Simplify right side
    2,689.34x = 5,606,254.62
  5. Step 5: Solve for x
    x = 5,606,254.62/2,689.34
  6. Step 6: Final answer
    x = 2,084.62

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Why These Related Problems?

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