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Finding the Fourth Proportional to 2,274.84, 3,409.08 and 957.20

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Solution

The fourth proportional to 2,274.84, 3,409.08 and 957.20 is: 1,434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.84 : 3,409.08 = 957.20 : x
  2. Step 2: Convert to fraction form
    2,274.84/3,409.08 = 957.20/x
  3. Step 3: Cross multiply
    2,274.84x = 3,409.08 × 957.20
  4. Step 4: Simplify right side
    2,274.84x = 3,263,171.38
  5. Step 5: Solve for x
    x = 3,263,171.38/2,274.84
  6. Step 6: Final answer
    x = 1,434.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.