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Finding the Fourth Proportional to 2,801.88, 4,205.28 and 2,156.64

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Solution

The fourth proportional to 2,801.88, 4,205.28 and 2,156.64 is: 3,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.88 : 4,205.28 = 2,156.64 : x
  2. Step 2: Convert to fraction form
    2,801.88/4,205.28 = 2,156.64/x
  3. Step 3: Cross multiply
    2,801.88x = 4,205.28 × 2,156.64
  4. Step 4: Simplify right side
    2,801.88x = 9,069,275.06
  5. Step 5: Solve for x
    x = 9,069,275.06/2,801.88
  6. Step 6: Final answer
    x = 3,236.85

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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.