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Finding the Fourth Proportional to 2,552.84, 3,825.86 and 1,364.45

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Solution

The fourth proportional to 2,552.84, 3,825.86 and 1,364.45 is: 2,044.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.84 : 3,825.86 = 1,364.45 : x
  2. Step 2: Convert to fraction form
    2,552.84/3,825.86 = 1,364.45/x
  3. Step 3: Cross multiply
    2,552.84x = 3,825.86 × 1,364.45
  4. Step 4: Simplify right side
    2,552.84x = 5,220,173.51
  5. Step 5: Solve for x
    x = 5,220,173.51/2,552.84
  6. Step 6: Final answer
    x = 2,044.85

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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.