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Finding the Fourth Proportional to 1,647.74, 2,274.27 and 984.89

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Solution

The fourth proportional to 1,647.74, 2,274.27 and 984.89 is: 1,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.74 : 2,274.27 = 984.89 : x
  2. Step 2: Convert to fraction form
    1,647.74/2,274.27 = 984.89/x
  3. Step 3: Cross multiply
    1,647.74x = 2,274.27 × 984.89
  4. Step 4: Simplify right side
    1,647.74x = 2,239,905.78
  5. Step 5: Solve for x
    x = 2,239,905.78/1,647.74
  6. Step 6: Final answer
    x = 1,359.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.