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Finding the Fourth Proportional to 3,140.66, 4,704.51 and 2,446.58

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Solution

The fourth proportional to 3,140.66, 4,704.51 and 2,446.58 is: 3,664.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.66 : 4,704.51 = 2,446.58 : x
  2. Step 2: Convert to fraction form
    3,140.66/4,704.51 = 2,446.58/x
  3. Step 3: Cross multiply
    3,140.66x = 4,704.51 × 2,446.58
  4. Step 4: Simplify right side
    3,140.66x = 11,509,960.08
  5. Step 5: Solve for x
    x = 11,509,960.08/3,140.66
  6. Step 6: Final answer
    x = 3,664.82

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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.