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Finding the Fourth Proportional to 2,874.36, 4,307.55 and 1,310.54

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Solution

The fourth proportional to 2,874.36, 4,307.55 and 1,310.54 is: 1,963.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.36 : 4,307.55 = 1,310.54 : x
  2. Step 2: Convert to fraction form
    2,874.36/4,307.55 = 1,310.54/x
  3. Step 3: Cross multiply
    2,874.36x = 4,307.55 × 1,310.54
  4. Step 4: Simplify right side
    2,874.36x = 5,645,195.04
  5. Step 5: Solve for x
    x = 5,645,195.04/2,874.36
  6. Step 6: Final answer
    x = 1,963.98

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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.