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Finding the Fourth Proportional to 2,259.69, 3,384.39 and 1,563.21

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Solution

The fourth proportional to 2,259.69, 3,384.39 and 1,563.21 is: 2,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.69 : 3,384.39 = 1,563.21 : x
  2. Step 2: Convert to fraction form
    2,259.69/3,384.39 = 1,563.21/x
  3. Step 3: Cross multiply
    2,259.69x = 3,384.39 × 1,563.21
  4. Step 4: Simplify right side
    2,259.69x = 5,290,512.29
  5. Step 5: Solve for x
    x = 5,290,512.29/2,259.69
  6. Step 6: Final answer
    x = 2,341.26

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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.