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Finding the Fourth Proportional to 2,619.32, 3,929.51 and 770.49

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Solution

The fourth proportional to 2,619.32, 3,929.51 and 770.49 is: 1,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.32 : 3,929.51 = 770.49 : x
  2. Step 2: Convert to fraction form
    2,619.32/3,929.51 = 770.49/x
  3. Step 3: Cross multiply
    2,619.32x = 3,929.51 × 770.49
  4. Step 4: Simplify right side
    2,619.32x = 3,027,648.16
  5. Step 5: Solve for x
    x = 3,027,648.16/2,619.32
  6. Step 6: Final answer
    x = 1,155.89

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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.