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Finding the Fourth Proportional to 1,820.52, 2,730.72 and 999.18

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Solution

The fourth proportional to 1,820.52, 2,730.72 and 999.18 is: 1,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.52 : 2,730.72 = 999.18 : x
  2. Step 2: Convert to fraction form
    1,820.52/2,730.72 = 999.18/x
  3. Step 3: Cross multiply
    1,820.52x = 2,730.72 × 999.18
  4. Step 4: Simplify right side
    1,820.52x = 2,728,480.81
  5. Step 5: Solve for x
    x = 2,728,480.81/1,820.52
  6. Step 6: Final answer
    x = 1,498.74

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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.