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Finding the Fourth Proportional to 1,883.81, 2,807.97 and 1,824.10

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Solution

The fourth proportional to 1,883.81, 2,807.97 and 1,824.10 is: 2,718.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.81 : 2,807.97 = 1,824.10 : x
  2. Step 2: Convert to fraction form
    1,883.81/2,807.97 = 1,824.10/x
  3. Step 3: Cross multiply
    1,883.81x = 2,807.97 × 1,824.10
  4. Step 4: Simplify right side
    1,883.81x = 5,122,020.01
  5. Step 5: Solve for x
    x = 5,122,020.01/1,883.81
  6. Step 6: Final answer
    x = 2,718.97

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Why These Related Problems?

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