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Finding the Fourth Proportional to 2,563.20, 3,533.12 and 2,448

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Solution

The fourth proportional to 2,563.20, 3,533.12 and 2,448 is: 3,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.20 : 3,533.12 = 2,448 : x
  2. Step 2: Convert to fraction form
    2,563.20/3,533.12 = 2,448/x
  3. Step 3: Cross multiply
    2,563.20x = 3,533.12 × 2,448
  4. Step 4: Simplify right side
    2,563.20x = 8,649,077.76
  5. Step 5: Solve for x
    x = 8,649,077.76/2,563.20
  6. Step 6: Final answer
    x = 3,374.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.