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Finding the Fourth Proportional to 3,170.26, 4,377.81 and 2,053

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Solution

The fourth proportional to 3,170.26, 4,377.81 and 2,053 is: 2,834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.26 : 4,377.81 = 2,053 : x
  2. Step 2: Convert to fraction form
    3,170.26/4,377.81 = 2,053/x
  3. Step 3: Cross multiply
    3,170.26x = 4,377.81 × 2,053
  4. Step 4: Simplify right side
    3,170.26x = 8,987,643.93
  5. Step 5: Solve for x
    x = 8,987,643.93/3,170.26
  6. Step 6: Final answer
    x = 2,834.99

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