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Finding the Fourth Proportional to 2,885.75, 4,325.25 and 1,325.91

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Solution

The fourth proportional to 2,885.75, 4,325.25 and 1,325.91 is: 1,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.75 : 4,325.25 = 1,325.91 : x
  2. Step 2: Convert to fraction form
    2,885.75/4,325.25 = 1,325.91/x
  3. Step 3: Cross multiply
    2,885.75x = 4,325.25 × 1,325.91
  4. Step 4: Simplify right side
    2,885.75x = 5,734,892.23
  5. Step 5: Solve for x
    x = 5,734,892.23/2,885.75
  6. Step 6: Final answer
    x = 1,987.32

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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.