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Finding the Fourth Proportional to 2,628.80, 3,943.26 and 985.04

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Solution

The fourth proportional to 2,628.80, 3,943.26 and 985.04 is: 1,477.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.80 : 3,943.26 = 985.04 : x
  2. Step 2: Convert to fraction form
    2,628.80/3,943.26 = 985.04/x
  3. Step 3: Cross multiply
    2,628.80x = 3,943.26 × 985.04
  4. Step 4: Simplify right side
    2,628.80x = 3,884,268.83
  5. Step 5: Solve for x
    x = 3,884,268.83/2,628.80
  6. Step 6: Final answer
    x = 1,477.58

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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.