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Finding the Fourth Proportional to 2,525.63, 3,788.28 and 944.03

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Solution

The fourth proportional to 2,525.63, 3,788.28 and 944.03 is: 1,415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.63 : 3,788.28 = 944.03 : x
  2. Step 2: Convert to fraction form
    2,525.63/3,788.28 = 944.03/x
  3. Step 3: Cross multiply
    2,525.63x = 3,788.28 × 944.03
  4. Step 4: Simplify right side
    2,525.63x = 3,576,259.44
  5. Step 5: Solve for x
    x = 3,576,259.44/2,525.63
  6. Step 6: Final answer
    x = 1,415.99

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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.