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Finding the Fourth Proportional to 1,813.88, 2,721.98 and 718.04

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Solution

The fourth proportional to 1,813.88, 2,721.98 and 718.04 is: 1,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.88 : 2,721.98 = 718.04 : x
  2. Step 2: Convert to fraction form
    1,813.88/2,721.98 = 718.04/x
  3. Step 3: Cross multiply
    1,813.88x = 2,721.98 × 718.04
  4. Step 4: Simplify right side
    1,813.88x = 1,954,490.52
  5. Step 5: Solve for x
    x = 1,954,490.52/1,813.88
  6. Step 6: Final answer
    x = 1,077.52

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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.