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Finding the Fourth Proportional to 2,772.92, 3,827.92 and 1,710.88

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Solution

The fourth proportional to 2,772.92, 3,827.92 and 1,710.88 is: 2,361.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.92 : 3,827.92 = 1,710.88 : x
  2. Step 2: Convert to fraction form
    2,772.92/3,827.92 = 1,710.88/x
  3. Step 3: Cross multiply
    2,772.92x = 3,827.92 × 1,710.88
  4. Step 4: Simplify right side
    2,772.92x = 6,549,111.77
  5. Step 5: Solve for x
    x = 6,549,111.77/2,772.92
  6. Step 6: Final answer
    x = 2,361.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.