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Finding the Fourth Proportional to 4,097.44, 6,145.34 and 1,598.62

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Solution

The fourth proportional to 4,097.44, 6,145.34 and 1,598.62 is: 2,397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.44 : 6,145.34 = 1,598.62 : x
  2. Step 2: Convert to fraction form
    4,097.44/6,145.34 = 1,598.62/x
  3. Step 3: Cross multiply
    4,097.44x = 6,145.34 × 1,598.62
  4. Step 4: Simplify right side
    4,097.44x = 9,824,063.43
  5. Step 5: Solve for x
    x = 9,824,063.43/4,097.44
  6. Step 6: Final answer
    x = 2,397.61

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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.