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Finding the Fourth Proportional to 2,175.58, 3,264.62 and 1,300.21

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Solution

The fourth proportional to 2,175.58, 3,264.62 and 1,300.21 is: 1,951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.58 : 3,264.62 = 1,300.21 : x
  2. Step 2: Convert to fraction form
    2,175.58/3,264.62 = 1,300.21/x
  3. Step 3: Cross multiply
    2,175.58x = 3,264.62 × 1,300.21
  4. Step 4: Simplify right side
    2,175.58x = 4,244,684.22
  5. Step 5: Solve for x
    x = 4,244,684.22/2,175.58
  6. Step 6: Final answer
    x = 1,951.06

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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.