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Finding the Fourth Proportional to 2,373.67, 3,274.81 and 1,428.73

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Solution

The fourth proportional to 2,373.67, 3,274.81 and 1,428.73 is: 1,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.67 : 3,274.81 = 1,428.73 : x
  2. Step 2: Convert to fraction form
    2,373.67/3,274.81 = 1,428.73/x
  3. Step 3: Cross multiply
    2,373.67x = 3,274.81 × 1,428.73
  4. Step 4: Simplify right side
    2,373.67x = 4,678,819.29
  5. Step 5: Solve for x
    x = 4,678,819.29/2,373.67
  6. Step 6: Final answer
    x = 1,971.13

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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.