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Finding the Fourth Proportional to 1,820.37, 2,730.52 and 521.85

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Solution

The fourth proportional to 1,820.37, 2,730.52 and 521.85 is: 782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.37 : 2,730.52 = 521.85 : x
  2. Step 2: Convert to fraction form
    1,820.37/2,730.52 = 521.85/x
  3. Step 3: Cross multiply
    1,820.37x = 2,730.52 × 521.85
  4. Step 4: Simplify right side
    1,820.37x = 1,424,921.86
  5. Step 5: Solve for x
    x = 1,424,921.86/1,820.37
  6. Step 6: Final answer
    x = 782.76

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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.