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Finding the Fourth Proportional to 2,125.59, 3,194.53 and 1,977.95

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Solution

The fourth proportional to 2,125.59, 3,194.53 and 1,977.95 is: 2,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.59 : 3,194.53 = 1,977.95 : x
  2. Step 2: Convert to fraction form
    2,125.59/3,194.53 = 1,977.95/x
  3. Step 3: Cross multiply
    2,125.59x = 3,194.53 × 1,977.95
  4. Step 4: Simplify right side
    2,125.59x = 6,318,620.61
  5. Step 5: Solve for x
    x = 6,318,620.61/2,125.59
  6. Step 6: Final answer
    x = 2,972.64

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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.