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Finding the Fourth Proportional to 1,820.99, 2,732.16 and 945.38

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Solution

The fourth proportional to 1,820.99, 2,732.16 and 945.38 is: 1,418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.99 : 2,732.16 = 945.38 : x
  2. Step 2: Convert to fraction form
    1,820.99/2,732.16 = 945.38/x
  3. Step 3: Cross multiply
    1,820.99x = 2,732.16 × 945.38
  4. Step 4: Simplify right side
    1,820.99x = 2,582,929.42
  5. Step 5: Solve for x
    x = 2,582,929.42/1,820.99
  6. Step 6: Final answer
    x = 1,418.42

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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.