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Finding the Fourth Proportional to 2,311.65, 3,192.81 and 1,564.31

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Solution

The fourth proportional to 2,311.65, 3,192.81 and 1,564.31 is: 2,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.65 : 3,192.81 = 1,564.31 : x
  2. Step 2: Convert to fraction form
    2,311.65/3,192.81 = 1,564.31/x
  3. Step 3: Cross multiply
    2,311.65x = 3,192.81 × 1,564.31
  4. Step 4: Simplify right side
    2,311.65x = 4,994,544.61
  5. Step 5: Solve for x
    x = 4,994,544.61/2,311.65
  6. Step 6: Final answer
    x = 2,160.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.