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Finding the Fourth Proportional to 1,901.78, 2,625.74 and 1,231.20

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Solution

The fourth proportional to 1,901.78, 2,625.74 and 1,231.20 is: 1,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.78 : 2,625.74 = 1,231.20 : x
  2. Step 2: Convert to fraction form
    1,901.78/2,625.74 = 1,231.20/x
  3. Step 3: Cross multiply
    1,901.78x = 2,625.74 × 1,231.20
  4. Step 4: Simplify right side
    1,901.78x = 3,232,814.17
  5. Step 5: Solve for x
    x = 3,232,814.17/1,901.78
  6. Step 6: Final answer
    x = 1,699.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.