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Finding the Fourth Proportional to 2,566.92, 3,852.36 and 1,910.28

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Solution

The fourth proportional to 2,566.92, 3,852.36 and 1,910.28 is: 2,866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.92 : 3,852.36 = 1,910.28 : x
  2. Step 2: Convert to fraction form
    2,566.92/3,852.36 = 1,910.28/x
  3. Step 3: Cross multiply
    2,566.92x = 3,852.36 × 1,910.28
  4. Step 4: Simplify right side
    2,566.92x = 7,359,086.26
  5. Step 5: Solve for x
    x = 7,359,086.26/2,566.92
  6. Step 6: Final answer
    x = 2,866.89

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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.