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Finding the Fourth Proportional to 2,286.53, 3,155.54 and 1,291.88

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Solution

The fourth proportional to 2,286.53, 3,155.54 and 1,291.88 is: 1,782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.53 : 3,155.54 = 1,291.88 : x
  2. Step 2: Convert to fraction form
    2,286.53/3,155.54 = 1,291.88/x
  3. Step 3: Cross multiply
    2,286.53x = 3,155.54 × 1,291.88
  4. Step 4: Simplify right side
    2,286.53x = 4,076,563.24
  5. Step 5: Solve for x
    x = 4,076,563.24/2,286.53
  6. Step 6: Final answer
    x = 1,782.86

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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.