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Finding the Fourth Proportional to 1,820.16, 2,730.24 and 452.16

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Solution

The fourth proportional to 1,820.16, 2,730.24 and 452.16 is: 678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.16 : 2,730.24 = 452.16 : x
  2. Step 2: Convert to fraction form
    1,820.16/2,730.24 = 452.16/x
  3. Step 3: Cross multiply
    1,820.16x = 2,730.24 × 452.16
  4. Step 4: Simplify right side
    1,820.16x = 1,234,493.38
  5. Step 5: Solve for x
    x = 1,234,493.38/1,820.16
  6. Step 6: Final answer
    x = 678.23

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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.