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Finding the Fourth Proportional to 2,505.71, 3,456.72 and 1,621.79

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Solution

The fourth proportional to 2,505.71, 3,456.72 and 1,621.79 is: 2,237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.71 : 3,456.72 = 1,621.79 : x
  2. Step 2: Convert to fraction form
    2,505.71/3,456.72 = 1,621.79/x
  3. Step 3: Cross multiply
    2,505.71x = 3,456.72 × 1,621.79
  4. Step 4: Simplify right side
    2,505.71x = 5,606,056.65
  5. Step 5: Solve for x
    x = 5,606,056.65/2,505.71
  6. Step 6: Final answer
    x = 2,237.32

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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.