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Finding the Fourth Proportional to 2,838.60, 4,253.82 and 2,645.88

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Solution

The fourth proportional to 2,838.60, 4,253.82 and 2,645.88 is: 3,965.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.60 : 4,253.82 = 2,645.88 : x
  2. Step 2: Convert to fraction form
    2,838.60/4,253.82 = 2,645.88/x
  3. Step 3: Cross multiply
    2,838.60x = 4,253.82 × 2,645.88
  4. Step 4: Simplify right side
    2,838.60x = 11,255,097.26
  5. Step 5: Solve for x
    x = 11,255,097.26/2,838.60
  6. Step 6: Final answer
    x = 3,965.02

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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.