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Finding the Fourth Proportional to 2,175.36, 3,262.80 and 2,126.72

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Solution

The fourth proportional to 2,175.36, 3,262.80 and 2,126.72 is: 3,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.36 : 3,262.80 = 2,126.72 : x
  2. Step 2: Convert to fraction form
    2,175.36/3,262.80 = 2,126.72/x
  3. Step 3: Cross multiply
    2,175.36x = 3,262.80 × 2,126.72
  4. Step 4: Simplify right side
    2,175.36x = 6,939,062.02
  5. Step 5: Solve for x
    x = 6,939,062.02/2,175.36
  6. Step 6: Final answer
    x = 3,189.85

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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.