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Finding the Fourth Proportional to 1,922.98, 2,873.93 and 1,404.07

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Solution

The fourth proportional to 1,922.98, 2,873.93 and 1,404.07 is: 2,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.98 : 2,873.93 = 1,404.07 : x
  2. Step 2: Convert to fraction form
    1,922.98/2,873.93 = 1,404.07/x
  3. Step 3: Cross multiply
    1,922.98x = 2,873.93 × 1,404.07
  4. Step 4: Simplify right side
    1,922.98x = 4,035,198.90
  5. Step 5: Solve for x
    x = 4,035,198.90/1,922.98
  6. Step 6: Final answer
    x = 2,098.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.