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Finding the Fourth Proportional to 3,134.73, 4,702.10 and 1,285.51

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Solution

The fourth proportional to 3,134.73, 4,702.10 and 1,285.51 is: 1,928.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.73 : 4,702.10 = 1,285.51 : x
  2. Step 2: Convert to fraction form
    3,134.73/4,702.10 = 1,285.51/x
  3. Step 3: Cross multiply
    3,134.73x = 4,702.10 × 1,285.51
  4. Step 4: Simplify right side
    3,134.73x = 6,044,596.57
  5. Step 5: Solve for x
    x = 6,044,596.57/3,134.73
  6. Step 6: Final answer
    x = 1,928.27

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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.