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Finding the Fourth Proportional to 2,175.66, 3,006.72 and 1,825.74

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Solution

The fourth proportional to 2,175.66, 3,006.72 and 1,825.74 is: 2,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.66 : 3,006.72 = 1,825.74 : x
  2. Step 2: Convert to fraction form
    2,175.66/3,006.72 = 1,825.74/x
  3. Step 3: Cross multiply
    2,175.66x = 3,006.72 × 1,825.74
  4. Step 4: Simplify right side
    2,175.66x = 5,489,488.97
  5. Step 5: Solve for x
    x = 5,489,488.97/2,175.66
  6. Step 6: Final answer
    x = 2,523.14

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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.