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Finding the Fourth Proportional to 2,586.69, 3,894.12 and 1,770.12

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Solution

The fourth proportional to 2,586.69, 3,894.12 and 1,770.12 is: 2,664.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.69 : 3,894.12 = 1,770.12 : x
  2. Step 2: Convert to fraction form
    2,586.69/3,894.12 = 1,770.12/x
  3. Step 3: Cross multiply
    2,586.69x = 3,894.12 × 1,770.12
  4. Step 4: Simplify right side
    2,586.69x = 6,893,059.69
  5. Step 5: Solve for x
    x = 6,893,059.69/2,586.69
  6. Step 6: Final answer
    x = 2,664.82

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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.