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Finding the Fourth Proportional to 2,388.46, 3,582.08 and 1,608.02

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Solution

The fourth proportional to 2,388.46, 3,582.08 and 1,608.02 is: 2,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.46 : 3,582.08 = 1,608.02 : x
  2. Step 2: Convert to fraction form
    2,388.46/3,582.08 = 1,608.02/x
  3. Step 3: Cross multiply
    2,388.46x = 3,582.08 × 1,608.02
  4. Step 4: Simplify right side
    2,388.46x = 5,760,056.28
  5. Step 5: Solve for x
    x = 5,760,056.28/2,388.46
  6. Step 6: Final answer
    x = 2,411.62

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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.