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Finding the Fourth Proportional to 2,863.63, 4,295.45 and 1,564.39

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Solution

The fourth proportional to 2,863.63, 4,295.45 and 1,564.39 is: 2,346.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.63 : 4,295.45 = 1,564.39 : x
  2. Step 2: Convert to fraction form
    2,863.63/4,295.45 = 1,564.39/x
  3. Step 3: Cross multiply
    2,863.63x = 4,295.45 × 1,564.39
  4. Step 4: Simplify right side
    2,863.63x = 6,719,759.03
  5. Step 5: Solve for x
    x = 6,719,759.03/2,863.63
  6. Step 6: Final answer
    x = 2,346.59

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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.