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Finding the Fourth Proportional to 1,863.95, 2,571.41 and 1,491.45

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Solution

The fourth proportional to 1,863.95, 2,571.41 and 1,491.45 is: 2,057.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.95 : 2,571.41 = 1,491.45 : x
  2. Step 2: Convert to fraction form
    1,863.95/2,571.41 = 1,491.45/x
  3. Step 3: Cross multiply
    1,863.95x = 2,571.41 × 1,491.45
  4. Step 4: Simplify right side
    1,863.95x = 3,835,129.44
  5. Step 5: Solve for x
    x = 3,835,129.44/1,863.95
  6. Step 6: Final answer
    x = 2,057.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.