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Finding the Fourth Proportional to 2,569.68, 3,539.04 and 2,388.24

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Solution

The fourth proportional to 2,569.68, 3,539.04 and 2,388.24 is: 3,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.68 : 3,539.04 = 2,388.24 : x
  2. Step 2: Convert to fraction form
    2,569.68/3,539.04 = 2,388.24/x
  3. Step 3: Cross multiply
    2,569.68x = 3,539.04 × 2,388.24
  4. Step 4: Simplify right side
    2,569.68x = 8,452,076.89
  5. Step 5: Solve for x
    x = 8,452,076.89/2,569.68
  6. Step 6: Final answer
    x = 3,289.16

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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.