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Finding the Fourth Proportional to 2,175.78, 3,001.95 and 1,231.50

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Solution

The fourth proportional to 2,175.78, 3,001.95 and 1,231.50 is: 1,699.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.78 : 3,001.95 = 1,231.50 : x
  2. Step 2: Convert to fraction form
    2,175.78/3,001.95 = 1,231.50/x
  3. Step 3: Cross multiply
    2,175.78x = 3,001.95 × 1,231.50
  4. Step 4: Simplify right side
    2,175.78x = 3,696,901.43
  5. Step 5: Solve for x
    x = 3,696,901.43/2,175.78
  6. Step 6: Final answer
    x = 1,699.12

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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.