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Finding the Fourth Proportional to 2,372.59, 3,274.48 and 1,428.87

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Solution

The fourth proportional to 2,372.59, 3,274.48 and 1,428.87 is: 1,972.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.59 : 3,274.48 = 1,428.87 : x
  2. Step 2: Convert to fraction form
    2,372.59/3,274.48 = 1,428.87/x
  3. Step 3: Cross multiply
    2,372.59x = 3,274.48 × 1,428.87
  4. Step 4: Simplify right side
    2,372.59x = 4,678,812.27
  5. Step 5: Solve for x
    x = 4,678,812.27/2,372.59
  6. Step 6: Final answer
    x = 1,972.03

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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.