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Finding the Fourth Proportional to 1,820.88, 2,731.14 and 504.72

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Solution

The fourth proportional to 1,820.88, 2,731.14 and 504.72 is: 757.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.88 : 2,731.14 = 504.72 : x
  2. Step 2: Convert to fraction form
    1,820.88/2,731.14 = 504.72/x
  3. Step 3: Cross multiply
    1,820.88x = 2,731.14 × 504.72
  4. Step 4: Simplify right side
    1,820.88x = 1,378,460.98
  5. Step 5: Solve for x
    x = 1,378,460.98/1,820.88
  6. Step 6: Final answer
    x = 757.03

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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.