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Finding the Fourth Proportional to 1,922.47, 2,883.96 and 690.22

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Solution

The fourth proportional to 1,922.47, 2,883.96 and 690.22 is: 1,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.47 : 2,883.96 = 690.22 : x
  2. Step 2: Convert to fraction form
    1,922.47/2,883.96 = 690.22/x
  3. Step 3: Cross multiply
    1,922.47x = 2,883.96 × 690.22
  4. Step 4: Simplify right side
    1,922.47x = 1,990,566.87
  5. Step 5: Solve for x
    x = 1,990,566.87/1,922.47
  6. Step 6: Final answer
    x = 1,035.42

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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.