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Finding the Fourth Proportional to 2,858.64, 4,288.88 and 1,299.20

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Solution

The fourth proportional to 2,858.64, 4,288.88 and 1,299.20 is: 1,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.64 : 4,288.88 = 1,299.20 : x
  2. Step 2: Convert to fraction form
    2,858.64/4,288.88 = 1,299.20/x
  3. Step 3: Cross multiply
    2,858.64x = 4,288.88 × 1,299.20
  4. Step 4: Simplify right side
    2,858.64x = 5,572,112.90
  5. Step 5: Solve for x
    x = 5,572,112.90/2,858.64
  6. Step 6: Final answer
    x = 1,949.22

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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.