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Finding the Fourth Proportional to 2,125.07, 2,932.77 and 1,193.75

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Solution

The fourth proportional to 2,125.07, 2,932.77 and 1,193.75 is: 1,647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.07 : 2,932.77 = 1,193.75 : x
  2. Step 2: Convert to fraction form
    2,125.07/2,932.77 = 1,193.75/x
  3. Step 3: Cross multiply
    2,125.07x = 2,932.77 × 1,193.75
  4. Step 4: Simplify right side
    2,125.07x = 3,500,973.55
  5. Step 5: Solve for x
    x = 3,500,973.55/2,125.07
  6. Step 6: Final answer
    x = 1,647.47

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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.