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Finding the Fourth Proportional to 1,863.92, 2,802.36 and 1,721.36

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Solution

The fourth proportional to 1,863.92, 2,802.36 and 1,721.36 is: 2,588.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.92 : 2,802.36 = 1,721.36 : x
  2. Step 2: Convert to fraction form
    1,863.92/2,802.36 = 1,721.36/x
  3. Step 3: Cross multiply
    1,863.92x = 2,802.36 × 1,721.36
  4. Step 4: Simplify right side
    1,863.92x = 4,823,870.41
  5. Step 5: Solve for x
    x = 4,823,870.41/1,863.92
  6. Step 6: Final answer
    x = 2,588.02

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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.