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Finding the Fourth Proportional to 1,919.34, 2,877.07 and 748.62

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Solution

The fourth proportional to 1,919.34, 2,877.07 and 748.62 is: 1,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.34 : 2,877.07 = 748.62 : x
  2. Step 2: Convert to fraction form
    1,919.34/2,877.07 = 748.62/x
  3. Step 3: Cross multiply
    1,919.34x = 2,877.07 × 748.62
  4. Step 4: Simplify right side
    1,919.34x = 2,153,832.14
  5. Step 5: Solve for x
    x = 2,153,832.14/1,919.34
  6. Step 6: Final answer
    x = 1,122.17

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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.