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Finding the Fourth Proportional to 1,636.38, 2,443.14 and 1,389.42

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Solution

The fourth proportional to 1,636.38, 2,443.14 and 1,389.42 is: 2,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.38 : 2,443.14 = 1,389.42 : x
  2. Step 2: Convert to fraction form
    1,636.38/2,443.14 = 1,389.42/x
  3. Step 3: Cross multiply
    1,636.38x = 2,443.14 × 1,389.42
  4. Step 4: Simplify right side
    1,636.38x = 3,394,547.58
  5. Step 5: Solve for x
    x = 3,394,547.58/1,636.38
  6. Step 6: Final answer
    x = 2,074.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.