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Finding the Fourth Proportional to 1,811.92, 2,717.88 and 716.80

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Solution

The fourth proportional to 1,811.92, 2,717.88 and 716.80 is: 1,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.92 : 2,717.88 = 716.80 : x
  2. Step 2: Convert to fraction form
    1,811.92/2,717.88 = 716.80/x
  3. Step 3: Cross multiply
    1,811.92x = 2,717.88 × 716.80
  4. Step 4: Simplify right side
    1,811.92x = 1,948,176.38
  5. Step 5: Solve for x
    x = 1,948,176.38/1,811.92
  6. Step 6: Final answer
    x = 1,075.20

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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.