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Finding the Fourth Proportional to 1,283.63, 1,915.94 and 1,252.55

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Solution

The fourth proportional to 1,283.63, 1,915.94 and 1,252.55 is: 1,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.63 : 1,915.94 = 1,252.55 : x
  2. Step 2: Convert to fraction form
    1,283.63/1,915.94 = 1,252.55/x
  3. Step 3: Cross multiply
    1,283.63x = 1,915.94 × 1,252.55
  4. Step 4: Simplify right side
    1,283.63x = 2,399,818.57
  5. Step 5: Solve for x
    x = 2,399,818.57/1,283.63
  6. Step 6: Final answer
    x = 1,869.56

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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.