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Finding the Fourth Proportional to 2,552.94, 3,522.72 and 1,433.87

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Solution

The fourth proportional to 2,552.94, 3,522.72 and 1,433.87 is: 1,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.94 : 3,522.72 = 1,433.87 : x
  2. Step 2: Convert to fraction form
    2,552.94/3,522.72 = 1,433.87/x
  3. Step 3: Cross multiply
    2,552.94x = 3,522.72 × 1,433.87
  4. Step 4: Simplify right side
    2,552.94x = 5,051,131.33
  5. Step 5: Solve for x
    x = 5,051,131.33/2,552.94
  6. Step 6: Final answer
    x = 1,978.55

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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.