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Finding the Fourth Proportional to 2,597.04, 3,896.07 and 842.49

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Solution

The fourth proportional to 2,597.04, 3,896.07 and 842.49 is: 1,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.04 : 3,896.07 = 842.49 : x
  2. Step 2: Convert to fraction form
    2,597.04/3,896.07 = 842.49/x
  3. Step 3: Cross multiply
    2,597.04x = 3,896.07 × 842.49
  4. Step 4: Simplify right side
    2,597.04x = 3,282,400.01
  5. Step 5: Solve for x
    x = 3,282,400.01/2,597.04
  6. Step 6: Final answer
    x = 1,263.90

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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.