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Finding the Fourth Proportional to 3,101.77, 4,649.46 and 1,347.91

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Solution

The fourth proportional to 3,101.77, 4,649.46 and 1,347.91 is: 2,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.77 : 4,649.46 = 1,347.91 : x
  2. Step 2: Convert to fraction form
    3,101.77/4,649.46 = 1,347.91/x
  3. Step 3: Cross multiply
    3,101.77x = 4,649.46 × 1,347.91
  4. Step 4: Simplify right side
    3,101.77x = 6,267,053.63
  5. Step 5: Solve for x
    x = 6,267,053.63/3,101.77
  6. Step 6: Final answer
    x = 2,020.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.