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Finding the Fourth Proportional to 2,671.63, 4,003.34 and 2,261.57

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Solution

The fourth proportional to 2,671.63, 4,003.34 and 2,261.57 is: 3,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.63 : 4,003.34 = 2,261.57 : x
  2. Step 2: Convert to fraction form
    2,671.63/4,003.34 = 2,261.57/x
  3. Step 3: Cross multiply
    2,671.63x = 4,003.34 × 2,261.57
  4. Step 4: Simplify right side
    2,671.63x = 9,053,802.32
  5. Step 5: Solve for x
    x = 9,053,802.32/2,671.63
  6. Step 6: Final answer
    x = 3,388.87

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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.