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Finding the Fourth Proportional to 1,919.50, 2,878.54 and 748.54

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Solution

The fourth proportional to 1,919.50, 2,878.54 and 748.54 is: 1,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.50 : 2,878.54 = 748.54 : x
  2. Step 2: Convert to fraction form
    1,919.50/2,878.54 = 748.54/x
  3. Step 3: Cross multiply
    1,919.50x = 2,878.54 × 748.54
  4. Step 4: Simplify right side
    1,919.50x = 2,154,704.06
  5. Step 5: Solve for x
    x = 2,154,704.06/1,919.50
  6. Step 6: Final answer
    x = 1,122.54

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Why These Related Problems?

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