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Finding the Fourth Proportional to 2,802.84, 4,224.52 and 2,644.08

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Solution

The fourth proportional to 2,802.84, 4,224.52 and 2,644.08 is: 3,985.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.84 : 4,224.52 = 2,644.08 : x
  2. Step 2: Convert to fraction form
    2,802.84/4,224.52 = 2,644.08/x
  3. Step 3: Cross multiply
    2,802.84x = 4,224.52 × 2,644.08
  4. Step 4: Simplify right side
    2,802.84x = 11,169,968.84
  5. Step 5: Solve for x
    x = 11,169,968.84/2,802.84
  6. Step 6: Final answer
    x = 3,985.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.