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Finding the Fourth Proportional to 2,444.64, 3,659.64 and 1,665.42

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Solution

The fourth proportional to 2,444.64, 3,659.64 and 1,665.42 is: 2,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.64 : 3,659.64 = 1,665.42 : x
  2. Step 2: Convert to fraction form
    2,444.64/3,659.64 = 1,665.42/x
  3. Step 3: Cross multiply
    2,444.64x = 3,659.64 × 1,665.42
  4. Step 4: Simplify right side
    2,444.64x = 6,094,837.65
  5. Step 5: Solve for x
    x = 6,094,837.65/2,444.64
  6. Step 6: Final answer
    x = 2,493.14

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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.