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Finding the Fourth Proportional to 2,771.84, 3,825.76 and 1,593.28

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Solution

The fourth proportional to 2,771.84, 3,825.76 and 1,593.28 is: 2,199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.84 : 3,825.76 = 1,593.28 : x
  2. Step 2: Convert to fraction form
    2,771.84/3,825.76 = 1,593.28/x
  3. Step 3: Cross multiply
    2,771.84x = 3,825.76 × 1,593.28
  4. Step 4: Simplify right side
    2,771.84x = 6,095,506.89
  5. Step 5: Solve for x
    x = 6,095,506.89/2,771.84
  6. Step 6: Final answer
    x = 2,199.08

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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.