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Finding the Fourth Proportional to 2,552.46, 3,522.13 and 1,433.45

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Solution

The fourth proportional to 2,552.46, 3,522.13 and 1,433.45 is: 1,978.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.46 : 3,522.13 = 1,433.45 : x
  2. Step 2: Convert to fraction form
    2,552.46/3,522.13 = 1,433.45/x
  3. Step 3: Cross multiply
    2,552.46x = 3,522.13 × 1,433.45
  4. Step 4: Simplify right side
    2,552.46x = 5,048,790.72
  5. Step 5: Solve for x
    x = 5,048,790.72/2,552.46
  6. Step 6: Final answer
    x = 1,978.01

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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.