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Finding the Fourth Proportional to 2,175.45, 3,002.14 and 1,324.45

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Solution

The fourth proportional to 2,175.45, 3,002.14 and 1,324.45 is: 1,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.45 : 3,002.14 = 1,324.45 : x
  2. Step 2: Convert to fraction form
    2,175.45/3,002.14 = 1,324.45/x
  3. Step 3: Cross multiply
    2,175.45x = 3,002.14 × 1,324.45
  4. Step 4: Simplify right side
    2,175.45x = 3,976,184.32
  5. Step 5: Solve for x
    x = 3,976,184.32/2,175.45
  6. Step 6: Final answer
    x = 1,827.75

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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.