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Finding the Fourth Proportional to 2,573.34, 3,856.23 and 2,200.95

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Solution

The fourth proportional to 2,573.34, 3,856.23 and 2,200.95 is: 3,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.34 : 3,856.23 = 2,200.95 : x
  2. Step 2: Convert to fraction form
    2,573.34/3,856.23 = 2,200.95/x
  3. Step 3: Cross multiply
    2,573.34x = 3,856.23 × 2,200.95
  4. Step 4: Simplify right side
    2,573.34x = 8,487,369.42
  5. Step 5: Solve for x
    x = 8,487,369.42/2,573.34
  6. Step 6: Final answer
    x = 3,298.19

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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.