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Finding the Fourth Proportional to 1,983.18, 2,974.93 and 522.32

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Solution

The fourth proportional to 1,983.18, 2,974.93 and 522.32 is: 783.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.18 : 2,974.93 = 522.32 : x
  2. Step 2: Convert to fraction form
    1,983.18/2,974.93 = 522.32/x
  3. Step 3: Cross multiply
    1,983.18x = 2,974.93 × 522.32
  4. Step 4: Simplify right side
    1,983.18x = 1,553,847.95
  5. Step 5: Solve for x
    x = 1,553,847.95/1,983.18
  6. Step 6: Final answer
    x = 783.51

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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.