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Finding the Fourth Proportional to 2,491.04, 3,726.29 and 2,047.29

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Solution

The fourth proportional to 2,491.04, 3,726.29 and 2,047.29 is: 3,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.04 : 3,726.29 = 2,047.29 : x
  2. Step 2: Convert to fraction form
    2,491.04/3,726.29 = 2,047.29/x
  3. Step 3: Cross multiply
    2,491.04x = 3,726.29 × 2,047.29
  4. Step 4: Simplify right side
    2,491.04x = 7,628,786.02
  5. Step 5: Solve for x
    x = 7,628,786.02/2,491.04
  6. Step 6: Final answer
    x = 3,062.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.