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Finding the Fourth Proportional to 2,274.34, 3,412.81 and 957.99

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Solution

The fourth proportional to 2,274.34, 3,412.81 and 957.99 is: 1,437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.34 : 3,412.81 = 957.99 : x
  2. Step 2: Convert to fraction form
    2,274.34/3,412.81 = 957.99/x
  3. Step 3: Cross multiply
    2,274.34x = 3,412.81 × 957.99
  4. Step 4: Simplify right side
    2,274.34x = 3,269,423.18
  5. Step 5: Solve for x
    x = 3,269,423.18/2,274.34
  6. Step 6: Final answer
    x = 1,437.53

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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.