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Finding the Fourth Proportional to 2,297.44, 3,428.51 and 2,051.38

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Solution

The fourth proportional to 2,297.44, 3,428.51 and 2,051.38 is: 3,061.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.44 : 3,428.51 = 2,051.38 : x
  2. Step 2: Convert to fraction form
    2,297.44/3,428.51 = 2,051.38/x
  3. Step 3: Cross multiply
    2,297.44x = 3,428.51 × 2,051.38
  4. Step 4: Simplify right side
    2,297.44x = 7,033,176.84
  5. Step 5: Solve for x
    x = 7,033,176.84/2,297.44
  6. Step 6: Final answer
    x = 3,061.31

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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.