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Finding the Fourth Proportional to 2,564.94, 3,846.79 and 921.45

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Solution

The fourth proportional to 2,564.94, 3,846.79 and 921.45 is: 1,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.94 : 3,846.79 = 921.45 : x
  2. Step 2: Convert to fraction form
    2,564.94/3,846.79 = 921.45/x
  3. Step 3: Cross multiply
    2,564.94x = 3,846.79 × 921.45
  4. Step 4: Simplify right side
    2,564.94x = 3,544,624.65
  5. Step 5: Solve for x
    x = 3,544,624.65/2,564.94
  6. Step 6: Final answer
    x = 1,381.95

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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.