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Finding the Fourth Proportional to 1,372.14, 1,894.05 and 874.80

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Solution

The fourth proportional to 1,372.14, 1,894.05 and 874.80 is: 1,207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.14 : 1,894.05 = 874.80 : x
  2. Step 2: Convert to fraction form
    1,372.14/1,894.05 = 874.80/x
  3. Step 3: Cross multiply
    1,372.14x = 1,894.05 × 874.80
  4. Step 4: Simplify right side
    1,372.14x = 1,656,914.94
  5. Step 5: Solve for x
    x = 1,656,914.94/1,372.14
  6. Step 6: Final answer
    x = 1,207.54

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