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Finding the Fourth Proportional to 1,882.38, 2,817.90 and 1,514.10

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Solution

The fourth proportional to 1,882.38, 2,817.90 and 1,514.10 is: 2,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.38 : 2,817.90 = 1,514.10 : x
  2. Step 2: Convert to fraction form
    1,882.38/2,817.90 = 1,514.10/x
  3. Step 3: Cross multiply
    1,882.38x = 2,817.90 × 1,514.10
  4. Step 4: Simplify right side
    1,882.38x = 4,266,582.39
  5. Step 5: Solve for x
    x = 4,266,582.39/1,882.38
  6. Step 6: Final answer
    x = 2,266.59

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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.