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Finding the Fourth Proportional to 2,927.84, 4,041.36 and 1,934

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Solution

The fourth proportional to 2,927.84, 4,041.36 and 1,934 is: 2,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.84 : 4,041.36 = 1,934 : x
  2. Step 2: Convert to fraction form
    2,927.84/4,041.36 = 1,934/x
  3. Step 3: Cross multiply
    2,927.84x = 4,041.36 × 1,934
  4. Step 4: Simplify right side
    2,927.84x = 7,815,990.24
  5. Step 5: Solve for x
    x = 7,815,990.24/2,927.84
  6. Step 6: Final answer
    x = 2,669.54

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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.