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Finding the Fourth Proportional to 2,605.46, 3,905.96 and 1,046.61

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Solution

The fourth proportional to 2,605.46, 3,905.96 and 1,046.61 is: 1,569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.46 : 3,905.96 = 1,046.61 : x
  2. Step 2: Convert to fraction form
    2,605.46/3,905.96 = 1,046.61/x
  3. Step 3: Cross multiply
    2,605.46x = 3,905.96 × 1,046.61
  4. Step 4: Simplify right side
    2,605.46x = 4,088,011.56
  5. Step 5: Solve for x
    x = 4,088,011.56/2,605.46
  6. Step 6: Final answer
    x = 1,569.02

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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.