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Finding the Fourth Proportional to 1,922.22, 2,883.54 and 689.46

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Solution

The fourth proportional to 1,922.22, 2,883.54 and 689.46 is: 1,034.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.22 : 2,883.54 = 689.46 : x
  2. Step 2: Convert to fraction form
    1,922.22/2,883.54 = 689.46/x
  3. Step 3: Cross multiply
    1,922.22x = 2,883.54 × 689.46
  4. Step 4: Simplify right side
    1,922.22x = 1,988,085.49
  5. Step 5: Solve for x
    x = 1,988,085.49/1,922.22
  6. Step 6: Final answer
    x = 1,034.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.