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Finding the Fourth Proportional to 2,536.95, 3,805.70 and 893.73

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Solution

The fourth proportional to 2,536.95, 3,805.70 and 893.73 is: 1,340.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.95 : 3,805.70 = 893.73 : x
  2. Step 2: Convert to fraction form
    2,536.95/3,805.70 = 893.73/x
  3. Step 3: Cross multiply
    2,536.95x = 3,805.70 × 893.73
  4. Step 4: Simplify right side
    2,536.95x = 3,401,263.79
  5. Step 5: Solve for x
    x = 3,401,263.79/2,536.95
  6. Step 6: Final answer
    x = 1,340.69

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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.