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Finding the Fourth Proportional to 2,297.03, 3,168.57 and 1,666.83

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Solution

The fourth proportional to 2,297.03, 3,168.57 and 1,666.83 is: 2,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.03 : 3,168.57 = 1,666.83 : x
  2. Step 2: Convert to fraction form
    2,297.03/3,168.57 = 1,666.83/x
  3. Step 3: Cross multiply
    2,297.03x = 3,168.57 × 1,666.83
  4. Step 4: Simplify right side
    2,297.03x = 5,281,458.47
  5. Step 5: Solve for x
    x = 5,281,458.47/2,297.03
  6. Step 6: Final answer
    x = 2,299.25

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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.