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Finding the Fourth Proportional to 2,388.62, 3,585.36 and 1,606.16

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Solution

The fourth proportional to 2,388.62, 3,585.36 and 1,606.16 is: 2,410.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.62 : 3,585.36 = 1,606.16 : x
  2. Step 2: Convert to fraction form
    2,388.62/3,585.36 = 1,606.16/x
  3. Step 3: Cross multiply
    2,388.62x = 3,585.36 × 1,606.16
  4. Step 4: Simplify right side
    2,388.62x = 5,758,661.82
  5. Step 5: Solve for x
    x = 5,758,661.82/2,388.62
  6. Step 6: Final answer
    x = 2,410.87

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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.