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Finding the Fourth Proportional to 2,563.84, 3,843.90 and 897.70

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Solution

The fourth proportional to 2,563.84, 3,843.90 and 897.70 is: 1,345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.84 : 3,843.90 = 897.70 : x
  2. Step 2: Convert to fraction form
    2,563.84/3,843.90 = 897.70/x
  3. Step 3: Cross multiply
    2,563.84x = 3,843.90 × 897.70
  4. Step 4: Simplify right side
    2,563.84x = 3,450,669.03
  5. Step 5: Solve for x
    x = 3,450,669.03/2,563.84
  6. Step 6: Final answer
    x = 1,345.90

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1.5x scale

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.