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Finding the Fourth Proportional to 1,467.54, 2,201.65 and 851.76

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Solution

The fourth proportional to 1,467.54, 2,201.65 and 851.76 is: 1,277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.54 : 2,201.65 = 851.76 : x
  2. Step 2: Convert to fraction form
    1,467.54/2,201.65 = 851.76/x
  3. Step 3: Cross multiply
    1,467.54x = 2,201.65 × 851.76
  4. Step 4: Simplify right side
    1,467.54x = 1,875,275.27
  5. Step 5: Solve for x
    x = 1,875,275.27/1,467.54
  6. Step 6: Final answer
    x = 1,277.84

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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.