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Finding the Fourth Proportional to 2,885.84, 4,327.32 and 937.80

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Solution

The fourth proportional to 2,885.84, 4,327.32 and 937.80 is: 1,406.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.84 : 4,327.32 = 937.80 : x
  2. Step 2: Convert to fraction form
    2,885.84/4,327.32 = 937.80/x
  3. Step 3: Cross multiply
    2,885.84x = 4,327.32 × 937.80
  4. Step 4: Simplify right side
    2,885.84x = 4,058,160.70
  5. Step 5: Solve for x
    x = 4,058,160.70/2,885.84
  6. Step 6: Final answer
    x = 1,406.23

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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.