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Finding the Fourth Proportional to 2,297.93, 3,429.24 and 2,051.88

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Solution

The fourth proportional to 2,297.93, 3,429.24 and 2,051.88 is: 3,062.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.93 : 3,429.24 = 2,051.88 : x
  2. Step 2: Convert to fraction form
    2,297.93/3,429.24 = 2,051.88/x
  3. Step 3: Cross multiply
    2,297.93x = 3,429.24 × 2,051.88
  4. Step 4: Simplify right side
    2,297.93x = 7,036,388.97
  5. Step 5: Solve for x
    x = 7,036,388.97/2,297.93
  6. Step 6: Final answer
    x = 3,062.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.