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Finding the Fourth Proportional to 1,919.88, 2,880.28 and 621.35

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Solution

The fourth proportional to 1,919.88, 2,880.28 and 621.35 is: 932.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.88 : 2,880.28 = 621.35 : x
  2. Step 2: Convert to fraction form
    1,919.88/2,880.28 = 621.35/x
  3. Step 3: Cross multiply
    1,919.88x = 2,880.28 × 621.35
  4. Step 4: Simplify right side
    1,919.88x = 1,789,667.26
  5. Step 5: Solve for x
    x = 1,789,667.26/1,919.88
  6. Step 6: Final answer
    x = 932.18

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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.