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Finding the Fourth Proportional to 2,297.79, 3,165.44 and 1,897.74

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Solution

The fourth proportional to 2,297.79, 3,165.44 and 1,897.74 is: 2,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.79 : 3,165.44 = 1,897.74 : x
  2. Step 2: Convert to fraction form
    2,297.79/3,165.44 = 1,897.74/x
  3. Step 3: Cross multiply
    2,297.79x = 3,165.44 × 1,897.74
  4. Step 4: Simplify right side
    2,297.79x = 6,007,172.62
  5. Step 5: Solve for x
    x = 6,007,172.62/2,297.79
  6. Step 6: Final answer
    x = 2,614.33

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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.