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Finding the Fourth Proportional to 2,423.60, 3,344.17 and 1,428.74

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Solution

The fourth proportional to 2,423.60, 3,344.17 and 1,428.74 is: 1,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.60 : 3,344.17 = 1,428.74 : x
  2. Step 2: Convert to fraction form
    2,423.60/3,344.17 = 1,428.74/x
  3. Step 3: Cross multiply
    2,423.60x = 3,344.17 × 1,428.74
  4. Step 4: Simplify right side
    2,423.60x = 4,777,942.30
  5. Step 5: Solve for x
    x = 4,777,942.30/2,423.60
  6. Step 6: Final answer
    x = 1,971.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.