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Finding the Fourth Proportional to 2,524.72, 3,788.00 and 881.51

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Solution

The fourth proportional to 2,524.72, 3,788.00 and 881.51 is: 1,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.72 : 3,788.00 = 881.51 : x
  2. Step 2: Convert to fraction form
    2,524.72/3,788.00 = 881.51/x
  3. Step 3: Cross multiply
    2,524.72x = 3,788.00 × 881.51
  4. Step 4: Simplify right side
    2,524.72x = 3,339,164.61
  5. Step 5: Solve for x
    x = 3,339,164.61/2,524.72
  6. Step 6: Final answer
    x = 1,322.59

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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.