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Finding the Fourth Proportional to 2,522.17, 3,780.44 and 1,903.87

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Solution

The fourth proportional to 2,522.17, 3,780.44 and 1,903.87 is: 2,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.17 : 3,780.44 = 1,903.87 : x
  2. Step 2: Convert to fraction form
    2,522.17/3,780.44 = 1,903.87/x
  3. Step 3: Cross multiply
    2,522.17x = 3,780.44 × 1,903.87
  4. Step 4: Simplify right side
    2,522.17x = 7,197,466.30
  5. Step 5: Solve for x
    x = 7,197,466.30/2,522.17
  6. Step 6: Final answer
    x = 2,853.68

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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.