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Finding the Fourth Proportional to 2,619.77, 3,929.06 and 771.01

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Solution

The fourth proportional to 2,619.77, 3,929.06 and 771.01 is: 1,156.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.77 : 3,929.06 = 771.01 : x
  2. Step 2: Convert to fraction form
    2,619.77/3,929.06 = 771.01/x
  3. Step 3: Cross multiply
    2,619.77x = 3,929.06 × 771.01
  4. Step 4: Simplify right side
    2,619.77x = 3,029,336.66
  5. Step 5: Solve for x
    x = 3,029,336.66/2,619.77
  6. Step 6: Final answer
    x = 1,156.34

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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.