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Finding the Fourth Proportional to 2,024.36, 3,036.48 and 984.44

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Solution

The fourth proportional to 2,024.36, 3,036.48 and 984.44 is: 1,476.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.36 : 3,036.48 = 984.44 : x
  2. Step 2: Convert to fraction form
    2,024.36/3,036.48 = 984.44/x
  3. Step 3: Cross multiply
    2,024.36x = 3,036.48 × 984.44
  4. Step 4: Simplify right side
    2,024.36x = 2,989,232.37
  5. Step 5: Solve for x
    x = 2,989,232.37/2,024.36
  6. Step 6: Final answer
    x = 1,476.63

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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.