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Finding the Fourth Proportional to 1,981, 2,974.58 and 1,893.36

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Solution

The fourth proportional to 1,981, 2,974.58 and 1,893.36 is: 2,842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981 : 2,974.58 = 1,893.36 : x
  2. Step 2: Convert to fraction form
    1,981/2,974.58 = 1,893.36/x
  3. Step 3: Cross multiply
    1,981x = 2,974.58 × 1,893.36
  4. Step 4: Simplify right side
    1,981x = 5,631,950.79
  5. Step 5: Solve for x
    x = 5,631,950.79/1,981
  6. Step 6: Final answer
    x = 2,842.98

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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.