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Finding the Fourth Proportional to 2,566.35, 3,847.70 and 2,073.38

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Solution

The fourth proportional to 2,566.35, 3,847.70 and 2,073.38 is: 3,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.35 : 3,847.70 = 2,073.38 : x
  2. Step 2: Convert to fraction form
    2,566.35/3,847.70 = 2,073.38/x
  3. Step 3: Cross multiply
    2,566.35x = 3,847.70 × 2,073.38
  4. Step 4: Simplify right side
    2,566.35x = 7,977,730.17
  5. Step 5: Solve for x
    x = 7,977,730.17/2,566.35
  6. Step 6: Final answer
    x = 3,108.59

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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.