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Finding the Fourth Proportional to 2,259.24, 3,389.44 and 720.24

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Solution

The fourth proportional to 2,259.24, 3,389.44 and 720.24 is: 1,080.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.24 : 3,389.44 = 720.24 : x
  2. Step 2: Convert to fraction form
    2,259.24/3,389.44 = 720.24/x
  3. Step 3: Cross multiply
    2,259.24x = 3,389.44 × 720.24
  4. Step 4: Simplify right side
    2,259.24x = 2,441,210.27
  5. Step 5: Solve for x
    x = 2,441,210.27/2,259.24
  6. Step 6: Final answer
    x = 1,080.54

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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.