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Finding the Fourth Proportional to 2,483.40, 3,424.68 and 1,644.84

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Solution

The fourth proportional to 2,483.40, 3,424.68 and 1,644.84 is: 2,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.40 : 3,424.68 = 1,644.84 : x
  2. Step 2: Convert to fraction form
    2,483.40/3,424.68 = 1,644.84/x
  3. Step 3: Cross multiply
    2,483.40x = 3,424.68 × 1,644.84
  4. Step 4: Simplify right side
    2,483.40x = 5,633,050.65
  5. Step 5: Solve for x
    x = 5,633,050.65/2,483.40
  6. Step 6: Final answer
    x = 2,268.28

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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.