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Finding the Fourth Proportional to 2,802.99, 3,868.16 and 1,623.63

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Solution

The fourth proportional to 2,802.99, 3,868.16 and 1,623.63 is: 2,240.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.99 : 3,868.16 = 1,623.63 : x
  2. Step 2: Convert to fraction form
    2,802.99/3,868.16 = 1,623.63/x
  3. Step 3: Cross multiply
    2,802.99x = 3,868.16 × 1,623.63
  4. Step 4: Simplify right side
    2,802.99x = 6,280,452.50
  5. Step 5: Solve for x
    x = 6,280,452.50/2,802.99
  6. Step 6: Final answer
    x = 2,240.63

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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.