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Finding the Fourth Proportional to 2,802.94, 4,201.59 and 1,763.69

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Solution

The fourth proportional to 2,802.94, 4,201.59 and 1,763.69 is: 2,643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.94 : 4,201.59 = 1,763.69 : x
  2. Step 2: Convert to fraction form
    2,802.94/4,201.59 = 1,763.69/x
  3. Step 3: Cross multiply
    2,802.94x = 4,201.59 × 1,763.69
  4. Step 4: Simplify right side
    2,802.94x = 7,410,302.27
  5. Step 5: Solve for x
    x = 7,410,302.27/2,802.94
  6. Step 6: Final answer
    x = 2,643.76

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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.