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Finding the Fourth Proportional to 3,046.46, 4,203.90 and 1,787.57

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Solution

The fourth proportional to 3,046.46, 4,203.90 and 1,787.57 is: 2,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.46 : 4,203.90 = 1,787.57 : x
  2. Step 2: Convert to fraction form
    3,046.46/4,203.90 = 1,787.57/x
  3. Step 3: Cross multiply
    3,046.46x = 4,203.90 × 1,787.57
  4. Step 4: Simplify right side
    3,046.46x = 7,514,760.27
  5. Step 5: Solve for x
    x = 7,514,760.27/3,046.46
  6. Step 6: Final answer
    x = 2,466.72

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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.