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Finding the Fourth Proportional to 2,117.21, 3,175.77 and 578.21

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Solution

The fourth proportional to 2,117.21, 3,175.77 and 578.21 is: 867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.21 : 3,175.77 = 578.21 : x
  2. Step 2: Convert to fraction form
    2,117.21/3,175.77 = 578.21/x
  3. Step 3: Cross multiply
    2,117.21x = 3,175.77 × 578.21
  4. Step 4: Simplify right side
    2,117.21x = 1,836,261.97
  5. Step 5: Solve for x
    x = 1,836,261.97/2,117.21
  6. Step 6: Final answer
    x = 867.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.