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Finding the Fourth Proportional to 1,821.08, 2,730.56 and 999.14

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Solution

The fourth proportional to 1,821.08, 2,730.56 and 999.14 is: 1,498.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.08 : 2,730.56 = 999.14 : x
  2. Step 2: Convert to fraction form
    1,821.08/2,730.56 = 999.14/x
  3. Step 3: Cross multiply
    1,821.08x = 2,730.56 × 999.14
  4. Step 4: Simplify right side
    1,821.08x = 2,728,193.07
  5. Step 5: Solve for x
    x = 2,728,193.07/1,821.08
  6. Step 6: Final answer
    x = 1,498.12

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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.