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Finding the Fourth Proportional to 2,617.65, 3,923.46 and 1,056.69

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Solution

The fourth proportional to 2,617.65, 3,923.46 and 1,056.69 is: 1,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.65 : 3,923.46 = 1,056.69 : x
  2. Step 2: Convert to fraction form
    2,617.65/3,923.46 = 1,056.69/x
  3. Step 3: Cross multiply
    2,617.65x = 3,923.46 × 1,056.69
  4. Step 4: Simplify right side
    2,617.65x = 4,145,880.95
  5. Step 5: Solve for x
    x = 4,145,880.95/2,617.65
  6. Step 6: Final answer
    x = 1,583.82

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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.