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Finding the Fourth Proportional to 1,640.32, 2,250.91 and 1,491.82

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Solution

The fourth proportional to 1,640.32, 2,250.91 and 1,491.82 is: 2,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.32 : 2,250.91 = 1,491.82 : x
  2. Step 2: Convert to fraction form
    1,640.32/2,250.91 = 1,491.82/x
  3. Step 3: Cross multiply
    1,640.32x = 2,250.91 × 1,491.82
  4. Step 4: Simplify right side
    1,640.32x = 3,357,952.56
  5. Step 5: Solve for x
    x = 3,357,952.56/1,640.32
  6. Step 6: Final answer
    x = 2,047.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.