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Finding the Fourth Proportional to 2,617.13, 3,611.58 and 1,569.14

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Solution

The fourth proportional to 2,617.13, 3,611.58 and 1,569.14 is: 2,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.13 : 3,611.58 = 1,569.14 : x
  2. Step 2: Convert to fraction form
    2,617.13/3,611.58 = 1,569.14/x
  3. Step 3: Cross multiply
    2,617.13x = 3,611.58 × 1,569.14
  4. Step 4: Simplify right side
    2,617.13x = 5,667,074.64
  5. Step 5: Solve for x
    x = 5,667,074.64/2,617.13
  6. Step 6: Final answer
    x = 2,165.38

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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.