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Finding the Fourth Proportional to 2,695.82, 3,720.19 and 1,516.89

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Solution

The fourth proportional to 2,695.82, 3,720.19 and 1,516.89 is: 2,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.82 : 3,720.19 = 1,516.89 : x
  2. Step 2: Convert to fraction form
    2,695.82/3,720.19 = 1,516.89/x
  3. Step 3: Cross multiply
    2,695.82x = 3,720.19 × 1,516.89
  4. Step 4: Simplify right side
    2,695.82x = 5,643,119.01
  5. Step 5: Solve for x
    x = 5,643,119.01/2,695.82
  6. Step 6: Final answer
    x = 2,093.28

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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.