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Finding the Fourth Proportional to 2,313.65, 3,448.48 and 2,182.29

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Solution

The fourth proportional to 2,313.65, 3,448.48 and 2,182.29 is: 3,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.65 : 3,448.48 = 2,182.29 : x
  2. Step 2: Convert to fraction form
    2,313.65/3,448.48 = 2,182.29/x
  3. Step 3: Cross multiply
    2,313.65x = 3,448.48 × 2,182.29
  4. Step 4: Simplify right side
    2,313.65x = 7,525,555.27
  5. Step 5: Solve for x
    x = 7,525,555.27/2,313.65
  6. Step 6: Final answer
    x = 3,252.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.