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Finding the Fourth Proportional to 1,820.16, 2,730.24 and 521.73

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Solution

The fourth proportional to 1,820.16, 2,730.24 and 521.73 is: 782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.16 : 2,730.24 = 521.73 : x
  2. Step 2: Convert to fraction form
    1,820.16/2,730.24 = 521.73/x
  3. Step 3: Cross multiply
    1,820.16x = 2,730.24 × 521.73
  4. Step 4: Simplify right side
    1,820.16x = 1,424,448.12
  5. Step 5: Solve for x
    x = 1,424,448.12/1,820.16
  6. Step 6: Final answer
    x = 782.60

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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.