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Finding the Fourth Proportional to 3,038.84, 4,192.44 and 1,919.34

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Solution

The fourth proportional to 3,038.84, 4,192.44 and 1,919.34 is: 2,647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.84 : 4,192.44 = 1,919.34 : x
  2. Step 2: Convert to fraction form
    3,038.84/4,192.44 = 1,919.34/x
  3. Step 3: Cross multiply
    3,038.84x = 4,192.44 × 1,919.34
  4. Step 4: Simplify right side
    3,038.84x = 8,046,717.79
  5. Step 5: Solve for x
    x = 8,046,717.79/3,038.84
  6. Step 6: Final answer
    x = 2,647.96

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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.