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Finding the Fourth Proportional to 2,885.07, 4,327.60 and 693.80

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Solution

The fourth proportional to 2,885.07, 4,327.60 and 693.80 is: 1,040.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.07 : 4,327.60 = 693.80 : x
  2. Step 2: Convert to fraction form
    2,885.07/4,327.60 = 693.80/x
  3. Step 3: Cross multiply
    2,885.07x = 4,327.60 × 693.80
  4. Step 4: Simplify right side
    2,885.07x = 3,002,467.24
  5. Step 5: Solve for x
    x = 3,002,467.24/2,885.07
  6. Step 6: Final answer
    x = 1,040.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.