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Finding the Fourth Proportional to 2,601.04, 3,901.95 and 845.47

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Solution

The fourth proportional to 2,601.04, 3,901.95 and 845.47 is: 1,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.04 : 3,901.95 = 845.47 : x
  2. Step 2: Convert to fraction form
    2,601.04/3,901.95 = 845.47/x
  3. Step 3: Cross multiply
    2,601.04x = 3,901.95 × 845.47
  4. Step 4: Simplify right side
    2,601.04x = 3,298,977.44
  5. Step 5: Solve for x
    x = 3,298,977.44/2,601.04
  6. Step 6: Final answer
    x = 1,268.33

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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.