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Finding the Fourth Proportional to 2,510.62, 3,465.06 and 1,516.03

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Solution

The fourth proportional to 2,510.62, 3,465.06 and 1,516.03 is: 2,092.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.62 : 3,465.06 = 1,516.03 : x
  2. Step 2: Convert to fraction form
    2,510.62/3,465.06 = 1,516.03/x
  3. Step 3: Cross multiply
    2,510.62x = 3,465.06 × 1,516.03
  4. Step 4: Simplify right side
    2,510.62x = 5,253,134.91
  5. Step 5: Solve for x
    x = 5,253,134.91/2,510.62
  6. Step 6: Final answer
    x = 2,092.37

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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.