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Finding the Fourth Proportional to 2,175.05, 3,259.82 and 1,018.25

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Solution

The fourth proportional to 2,175.05, 3,259.82 and 1,018.25 is: 1,526.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.05 : 3,259.82 = 1,018.25 : x
  2. Step 2: Convert to fraction form
    2,175.05/3,259.82 = 1,018.25/x
  3. Step 3: Cross multiply
    2,175.05x = 3,259.82 × 1,018.25
  4. Step 4: Simplify right side
    2,175.05x = 3,319,306.62
  5. Step 5: Solve for x
    x = 3,319,306.62/2,175.05
  6. Step 6: Final answer
    x = 1,526.08

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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.