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Finding the Fourth Proportional to 2,653.65, 3,662.23 and 1,474.71

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Solution

The fourth proportional to 2,653.65, 3,662.23 and 1,474.71 is: 2,035.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.65 : 3,662.23 = 1,474.71 : x
  2. Step 2: Convert to fraction form
    2,653.65/3,662.23 = 1,474.71/x
  3. Step 3: Cross multiply
    2,653.65x = 3,662.23 × 1,474.71
  4. Step 4: Simplify right side
    2,653.65x = 5,400,727.20
  5. Step 5: Solve for x
    x = 5,400,727.20/2,653.65
  6. Step 6: Final answer
    x = 2,035.21

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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.