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Finding the Fourth Proportional to 7,189.48, 10,784.20 and 2,259.49

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Solution

The fourth proportional to 7,189.48, 10,784.20 and 2,259.49 is: 3,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.48 : 10,784.20 = 2,259.49 : x
  2. Step 2: Convert to fraction form
    7,189.48/10,784.20 = 2,259.49/x
  3. Step 3: Cross multiply
    7,189.48x = 10,784.20 × 2,259.49
  4. Step 4: Simplify right side
    7,189.48x = 24,366,792.06
  5. Step 5: Solve for x
    x = 24,366,792.06/7,189.48
  6. Step 6: Final answer
    x = 3,389.23

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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.