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Finding the Fourth Proportional to 2,284.43, 3,426.49 and 898.00

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Solution

The fourth proportional to 2,284.43, 3,426.49 and 898.00 is: 1,346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.43 : 3,426.49 = 898.00 : x
  2. Step 2: Convert to fraction form
    2,284.43/3,426.49 = 898.00/x
  3. Step 3: Cross multiply
    2,284.43x = 3,426.49 × 898.00
  4. Step 4: Simplify right side
    2,284.43x = 3,076,984.13
  5. Step 5: Solve for x
    x = 3,076,984.13/2,284.43
  6. Step 6: Final answer
    x = 1,346.94

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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.