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Finding the Fourth Proportional to 2,252.61, 3,376.60 and 865.57

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Solution

The fourth proportional to 2,252.61, 3,376.60 and 865.57 is: 1,297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.61 : 3,376.60 = 865.57 : x
  2. Step 2: Convert to fraction form
    2,252.61/3,376.60 = 865.57/x
  3. Step 3: Cross multiply
    2,252.61x = 3,376.60 × 865.57
  4. Step 4: Simplify right side
    2,252.61x = 2,922,683.66
  5. Step 5: Solve for x
    x = 2,922,683.66/2,252.61
  6. Step 6: Final answer
    x = 1,297.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.