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Finding the Fourth Proportional to 2,782.95, 4,168.35 and 1,220.87

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Solution

The fourth proportional to 2,782.95, 4,168.35 and 1,220.87 is: 1,828.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.95 : 4,168.35 = 1,220.87 : x
  2. Step 2: Convert to fraction form
    2,782.95/4,168.35 = 1,220.87/x
  3. Step 3: Cross multiply
    2,782.95x = 4,168.35 × 1,220.87
  4. Step 4: Simplify right side
    2,782.95x = 5,088,992.62
  5. Step 5: Solve for x
    x = 5,088,992.62/2,782.95
  6. Step 6: Final answer
    x = 1,828.63

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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.