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Finding the Fourth Proportional to 1,824.71, 2,512.80 and 1,585.33

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Solution

The fourth proportional to 1,824.71, 2,512.80 and 1,585.33 is: 2,183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.71 : 2,512.80 = 1,585.33 : x
  2. Step 2: Convert to fraction form
    1,824.71/2,512.80 = 1,585.33/x
  3. Step 3: Cross multiply
    1,824.71x = 2,512.80 × 1,585.33
  4. Step 4: Simplify right side
    1,824.71x = 3,983,606.48
  5. Step 5: Solve for x
    x = 3,983,606.48/1,824.71
  6. Step 6: Final answer
    x = 2,183.14

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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.