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Finding the Fourth Proportional to 2,281.76, 3,423.24 and 982.92

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Solution

The fourth proportional to 2,281.76, 3,423.24 and 982.92 is: 1,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.76 : 3,423.24 = 982.92 : x
  2. Step 2: Convert to fraction form
    2,281.76/3,423.24 = 982.92/x
  3. Step 3: Cross multiply
    2,281.76x = 3,423.24 × 982.92
  4. Step 4: Simplify right side
    2,281.76x = 3,364,771.06
  5. Step 5: Solve for x
    x = 3,364,771.06/2,281.76
  6. Step 6: Final answer
    x = 1,474.64

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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.