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Finding the Fourth Proportional to 2,282.94, 3,423.01 and 896.93

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Solution

The fourth proportional to 2,282.94, 3,423.01 and 896.93 is: 1,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.94 : 3,423.01 = 896.93 : x
  2. Step 2: Convert to fraction form
    2,282.94/3,423.01 = 896.93/x
  3. Step 3: Cross multiply
    2,282.94x = 3,423.01 × 896.93
  4. Step 4: Simplify right side
    2,282.94x = 3,070,200.36
  5. Step 5: Solve for x
    x = 3,070,200.36/2,282.94
  6. Step 6: Final answer
    x = 1,344.84

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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.