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Finding the Fourth Proportional to 1,852.29, 2,778.44 and 697.77

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Solution

The fourth proportional to 1,852.29, 2,778.44 and 697.77 is: 1,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.29 : 2,778.44 = 697.77 : x
  2. Step 2: Convert to fraction form
    1,852.29/2,778.44 = 697.77/x
  3. Step 3: Cross multiply
    1,852.29x = 2,778.44 × 697.77
  4. Step 4: Simplify right side
    1,852.29x = 1,938,708.59
  5. Step 5: Solve for x
    x = 1,938,708.59/1,852.29
  6. Step 6: Final answer
    x = 1,046.66

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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.