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Finding the Fourth Proportional to 1,922.69, 2,886.32 and 1,618.33

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Solution

The fourth proportional to 1,922.69, 2,886.32 and 1,618.33 is: 2,429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.69 : 2,886.32 = 1,618.33 : x
  2. Step 2: Convert to fraction form
    1,922.69/2,886.32 = 1,618.33/x
  3. Step 3: Cross multiply
    1,922.69x = 2,886.32 × 1,618.33
  4. Step 4: Simplify right side
    1,922.69x = 4,671,018.25
  5. Step 5: Solve for x
    x = 4,671,018.25/1,922.69
  6. Step 6: Final answer
    x = 2,429.42

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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.