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Finding the Fourth Proportional to 2,208.64, 3,315 and 1,285.24

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Solution

The fourth proportional to 2,208.64, 3,315 and 1,285.24 is: 1,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.64 : 3,315 = 1,285.24 : x
  2. Step 2: Convert to fraction form
    2,208.64/3,315 = 1,285.24/x
  3. Step 3: Cross multiply
    2,208.64x = 3,315 × 1,285.24
  4. Step 4: Simplify right side
    2,208.64x = 4,260,570.60
  5. Step 5: Solve for x
    x = 4,260,570.60/2,208.64
  6. Step 6: Final answer
    x = 1,929.05

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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.