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Finding the Fourth Proportional to 2,125, 2,932.50 and 1,193.52

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Solution

The fourth proportional to 2,125, 2,932.50 and 1,193.52 is: 1,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125 : 2,932.50 = 1,193.52 : x
  2. Step 2: Convert to fraction form
    2,125/2,932.50 = 1,193.52/x
  3. Step 3: Cross multiply
    2,125x = 2,932.50 × 1,193.52
  4. Step 4: Simplify right side
    2,125x = 3,499,997.40
  5. Step 5: Solve for x
    x = 3,499,997.40/2,125
  6. Step 6: Final answer
    x = 1,647.06

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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.