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Finding the Fourth Proportional to 1,922.99, 2,653.98 and 1,083.88

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Solution

The fourth proportional to 1,922.99, 2,653.98 and 1,083.88 is: 1,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.99 : 2,653.98 = 1,083.88 : x
  2. Step 2: Convert to fraction form
    1,922.99/2,653.98 = 1,083.88/x
  3. Step 3: Cross multiply
    1,922.99x = 2,653.98 × 1,083.88
  4. Step 4: Simplify right side
    1,922.99x = 2,876,582.57
  5. Step 5: Solve for x
    x = 2,876,582.57/1,922.99
  6. Step 6: Final answer
    x = 1,495.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.