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Finding the Fourth Proportional to 1,572.42, 2,169.94 and 873.80

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Solution

The fourth proportional to 1,572.42, 2,169.94 and 873.80 is: 1,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.42 : 2,169.94 = 873.80 : x
  2. Step 2: Convert to fraction form
    1,572.42/2,169.94 = 873.80/x
  3. Step 3: Cross multiply
    1,572.42x = 2,169.94 × 873.80
  4. Step 4: Simplify right side
    1,572.42x = 1,896,093.57
  5. Step 5: Solve for x
    x = 1,896,093.57/1,572.42
  6. Step 6: Final answer
    x = 1,205.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.