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Finding the Fourth Proportional to 2,522.58, 3,777.99 and 2,434.98

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Solution

The fourth proportional to 2,522.58, 3,777.99 and 2,434.98 is: 3,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.58 : 3,777.99 = 2,434.98 : x
  2. Step 2: Convert to fraction form
    2,522.58/3,777.99 = 2,434.98/x
  3. Step 3: Cross multiply
    2,522.58x = 3,777.99 × 2,434.98
  4. Step 4: Simplify right side
    2,522.58x = 9,199,327.57
  5. Step 5: Solve for x
    x = 9,199,327.57/2,522.58
  6. Step 6: Final answer
    x = 3,646.80

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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.