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Finding the Fourth Proportional to 2,824.86, 4,244.95 and 1,509.52

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Solution

The fourth proportional to 2,824.86, 4,244.95 and 1,509.52 is: 2,268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.86 : 4,244.95 = 1,509.52 : x
  2. Step 2: Convert to fraction form
    2,824.86/4,244.95 = 1,509.52/x
  3. Step 3: Cross multiply
    2,824.86x = 4,244.95 × 1,509.52
  4. Step 4: Simplify right side
    2,824.86x = 6,407,836.92
  5. Step 5: Solve for x
    x = 6,407,836.92/2,824.86
  6. Step 6: Final answer
    x = 2,268.37

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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.