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Finding the Fourth Proportional to 1,767.47, 2,649.48 and 842.54

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Solution

The fourth proportional to 1,767.47, 2,649.48 and 842.54 is: 1,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.47 : 2,649.48 = 842.54 : x
  2. Step 2: Convert to fraction form
    1,767.47/2,649.48 = 842.54/x
  3. Step 3: Cross multiply
    1,767.47x = 2,649.48 × 842.54
  4. Step 4: Simplify right side
    1,767.47x = 2,232,279.63
  5. Step 5: Solve for x
    x = 2,232,279.63/1,767.47
  6. Step 6: Final answer
    x = 1,262.98

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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.