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Finding the Fourth Proportional to 2,763.83, 4,145.78 and 986.30

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Solution

The fourth proportional to 2,763.83, 4,145.78 and 986.30 is: 1,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.83 : 4,145.78 = 986.30 : x
  2. Step 2: Convert to fraction form
    2,763.83/4,145.78 = 986.30/x
  3. Step 3: Cross multiply
    2,763.83x = 4,145.78 × 986.30
  4. Step 4: Simplify right side
    2,763.83x = 4,088,962.09
  5. Step 5: Solve for x
    x = 4,088,962.09/2,763.83
  6. Step 6: Final answer
    x = 1,479.46

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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.