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Finding the Fourth Proportional to 2,259.48, 3,392.99 and 1,523.83

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Solution

The fourth proportional to 2,259.48, 3,392.99 and 1,523.83 is: 2,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.48 : 3,392.99 = 1,523.83 : x
  2. Step 2: Convert to fraction form
    2,259.48/3,392.99 = 1,523.83/x
  3. Step 3: Cross multiply
    2,259.48x = 3,392.99 × 1,523.83
  4. Step 4: Simplify right side
    2,259.48x = 5,170,339.95
  5. Step 5: Solve for x
    x = 5,170,339.95/2,259.48
  6. Step 6: Final answer
    x = 2,288.29

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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.