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Finding the Fourth Proportional to 3,046.90, 4,204.76 and 1,787.98

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Solution

The fourth proportional to 3,046.90, 4,204.76 and 1,787.98 is: 2,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.90 : 4,204.76 = 1,787.98 : x
  2. Step 2: Convert to fraction form
    3,046.90/4,204.76 = 1,787.98/x
  3. Step 3: Cross multiply
    3,046.90x = 4,204.76 × 1,787.98
  4. Step 4: Simplify right side
    3,046.90x = 7,518,026.78
  5. Step 5: Solve for x
    x = 7,518,026.78/3,046.90
  6. Step 6: Final answer
    x = 2,467.43

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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.