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Finding the Fourth Proportional to 2,399.46, 3,594.54 and 1,575.21

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Solution

The fourth proportional to 2,399.46, 3,594.54 and 1,575.21 is: 2,359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.46 : 3,594.54 = 1,575.21 : x
  2. Step 2: Convert to fraction form
    2,399.46/3,594.54 = 1,575.21/x
  3. Step 3: Cross multiply
    2,399.46x = 3,594.54 × 1,575.21
  4. Step 4: Simplify right side
    2,399.46x = 5,662,155.35
  5. Step 5: Solve for x
    x = 5,662,155.35/2,399.46
  6. Step 6: Final answer
    x = 2,359.76

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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.