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Finding the Fourth Proportional to 2,369.16, 3,269.59 and 1,361.18

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Solution

The fourth proportional to 2,369.16, 3,269.59 and 1,361.18 is: 1,878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.16 : 3,269.59 = 1,361.18 : x
  2. Step 2: Convert to fraction form
    2,369.16/3,269.59 = 1,361.18/x
  3. Step 3: Cross multiply
    2,369.16x = 3,269.59 × 1,361.18
  4. Step 4: Simplify right side
    2,369.16x = 4,450,505.29
  5. Step 5: Solve for x
    x = 4,450,505.29/2,369.16
  6. Step 6: Final answer
    x = 1,878.52

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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.