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Finding the Fourth Proportional to 1,516.01, 2,089.01 and 1,161.92

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Solution

The fourth proportional to 1,516.01, 2,089.01 and 1,161.92 is: 1,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.01 : 2,089.01 = 1,161.92 : x
  2. Step 2: Convert to fraction form
    1,516.01/2,089.01 = 1,161.92/x
  3. Step 3: Cross multiply
    1,516.01x = 2,089.01 × 1,161.92
  4. Step 4: Simplify right side
    1,516.01x = 2,427,270.63
  5. Step 5: Solve for x
    x = 2,427,270.63/1,516.01
  6. Step 6: Final answer
    x = 1,601.10

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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.