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Finding the Fourth Proportional to 3,046.59, 4,204.31 and 1,649.34

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Solution

The fourth proportional to 3,046.59, 4,204.31 and 1,649.34 is: 2,276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.59 : 4,204.31 = 1,649.34 : x
  2. Step 2: Convert to fraction form
    3,046.59/4,204.31 = 1,649.34/x
  3. Step 3: Cross multiply
    3,046.59x = 4,204.31 × 1,649.34
  4. Step 4: Simplify right side
    3,046.59x = 6,934,328.41
  5. Step 5: Solve for x
    x = 6,934,328.41/3,046.59
  6. Step 6: Final answer
    x = 2,276.10

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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.