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Finding the Fourth Proportional to 3,047.01, 4,204.89 and 1,649.76

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Solution

The fourth proportional to 3,047.01, 4,204.89 and 1,649.76 is: 2,276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.01 : 4,204.89 = 1,649.76 : x
  2. Step 2: Convert to fraction form
    3,047.01/4,204.89 = 1,649.76/x
  3. Step 3: Cross multiply
    3,047.01x = 4,204.89 × 1,649.76
  4. Step 4: Simplify right side
    3,047.01x = 6,937,059.33
  5. Step 5: Solve for x
    x = 6,937,059.33/3,047.01
  6. Step 6: Final answer
    x = 2,276.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.