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Finding the Fourth Proportional to 2,274.81, 3,409.17 and 957.35

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Solution

The fourth proportional to 2,274.81, 3,409.17 and 957.35 is: 1,434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.81 : 3,409.17 = 957.35 : x
  2. Step 2: Convert to fraction form
    2,274.81/3,409.17 = 957.35/x
  3. Step 3: Cross multiply
    2,274.81x = 3,409.17 × 957.35
  4. Step 4: Simplify right side
    2,274.81x = 3,263,751.85
  5. Step 5: Solve for x
    x = 3,263,751.85/2,274.81
  6. Step 6: Final answer
    x = 1,434.74

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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.