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Finding the Fourth Proportional to 2,586.49, 3,894.94 and 1,861.12

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Solution

The fourth proportional to 2,586.49, 3,894.94 and 1,861.12 is: 2,802.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.49 : 3,894.94 = 1,861.12 : x
  2. Step 2: Convert to fraction form
    2,586.49/3,894.94 = 1,861.12/x
  3. Step 3: Cross multiply
    2,586.49x = 3,894.94 × 1,861.12
  4. Step 4: Simplify right side
    2,586.49x = 7,248,950.73
  5. Step 5: Solve for x
    x = 7,248,950.73/2,586.49
  6. Step 6: Final answer
    x = 2,802.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.