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Finding the Fourth Proportional to 2,428.43, 3,642.80 and 967.39

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Solution

The fourth proportional to 2,428.43, 3,642.80 and 967.39 is: 1,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.43 : 3,642.80 = 967.39 : x
  2. Step 2: Convert to fraction form
    2,428.43/3,642.80 = 967.39/x
  3. Step 3: Cross multiply
    2,428.43x = 3,642.80 × 967.39
  4. Step 4: Simplify right side
    2,428.43x = 3,523,994.35
  5. Step 5: Solve for x
    x = 3,523,994.35/2,428.43
  6. Step 6: Final answer
    x = 1,451.14

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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.