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Finding the Fourth Proportional to 2,410.68, 3,324.09 and 1,569.83

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Solution

The fourth proportional to 2,410.68, 3,324.09 and 1,569.83 is: 2,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.68 : 3,324.09 = 1,569.83 : x
  2. Step 2: Convert to fraction form
    2,410.68/3,324.09 = 1,569.83/x
  3. Step 3: Cross multiply
    2,410.68x = 3,324.09 × 1,569.83
  4. Step 4: Simplify right side
    2,410.68x = 5,218,256.20
  5. Step 5: Solve for x
    x = 5,218,256.20/2,410.68
  6. Step 6: Final answer
    x = 2,164.64

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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.