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Finding the Fourth Proportional to 2,019.94, 2,788.27 and 1,233.98

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Solution

The fourth proportional to 2,019.94, 2,788.27 and 1,233.98 is: 1,703.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.94 : 2,788.27 = 1,233.98 : x
  2. Step 2: Convert to fraction form
    2,019.94/2,788.27 = 1,233.98/x
  3. Step 3: Cross multiply
    2,019.94x = 2,788.27 × 1,233.98
  4. Step 4: Simplify right side
    2,019.94x = 3,440,685.47
  5. Step 5: Solve for x
    x = 3,440,685.47/2,019.94
  6. Step 6: Final answer
    x = 1,703.36

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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.