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Finding the Fourth Proportional to 1,983, 2,974.48 and 813.64

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Solution

The fourth proportional to 1,983, 2,974.48 and 813.64 is: 1,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983 : 2,974.48 = 813.64 : x
  2. Step 2: Convert to fraction form
    1,983/2,974.48 = 813.64/x
  3. Step 3: Cross multiply
    1,983x = 2,974.48 × 813.64
  4. Step 4: Simplify right side
    1,983x = 2,420,155.91
  5. Step 5: Solve for x
    x = 2,420,155.91/1,983
  6. Step 6: Final answer
    x = 1,220.45

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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.