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Finding the Fourth Proportional to 2,773.64, 3,827.76 and 1,726.04

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Solution

The fourth proportional to 2,773.64, 3,827.76 and 1,726.04 is: 2,382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.64 : 3,827.76 = 1,726.04 : x
  2. Step 2: Convert to fraction form
    2,773.64/3,827.76 = 1,726.04/x
  3. Step 3: Cross multiply
    2,773.64x = 3,827.76 × 1,726.04
  4. Step 4: Simplify right side
    2,773.64x = 6,606,866.87
  5. Step 5: Solve for x
    x = 6,606,866.87/2,773.64
  6. Step 6: Final answer
    x = 2,382.02

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Why These Related Problems?

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