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Finding the Fourth Proportional to 1,820.52, 2,730.60 and 1,410.48

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Solution

The fourth proportional to 1,820.52, 2,730.60 and 1,410.48 is: 2,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.52 : 2,730.60 = 1,410.48 : x
  2. Step 2: Convert to fraction form
    1,820.52/2,730.60 = 1,410.48/x
  3. Step 3: Cross multiply
    1,820.52x = 2,730.60 × 1,410.48
  4. Step 4: Simplify right side
    1,820.52x = 3,851,456.69
  5. Step 5: Solve for x
    x = 3,851,456.69/1,820.52
  6. Step 6: Final answer
    x = 2,115.58

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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.