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Finding the Fourth Proportional to 4,279.52, 6,419.50 and 1,201.76

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Solution

The fourth proportional to 4,279.52, 6,419.50 and 1,201.76 is: 1,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,279.52 : 6,419.50 = 1,201.76 : x
  2. Step 2: Convert to fraction form
    4,279.52/6,419.50 = 1,201.76/x
  3. Step 3: Cross multiply
    4,279.52x = 6,419.50 × 1,201.76
  4. Step 4: Simplify right side
    4,279.52x = 7,714,698.32
  5. Step 5: Solve for x
    x = 7,714,698.32/4,279.52
  6. Step 6: Final answer
    x = 1,802.70

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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.