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Finding the Fourth Proportional to 1,984.44, 2,977.52 and 945.18

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Solution

The fourth proportional to 1,984.44, 2,977.52 and 945.18 is: 1,418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.44 : 2,977.52 = 945.18 : x
  2. Step 2: Convert to fraction form
    1,984.44/2,977.52 = 945.18/x
  3. Step 3: Cross multiply
    1,984.44x = 2,977.52 × 945.18
  4. Step 4: Simplify right side
    1,984.44x = 2,814,287.63
  5. Step 5: Solve for x
    x = 2,814,287.63/1,984.44
  6. Step 6: Final answer
    x = 1,418.18

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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.