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Finding the Fourth Proportional to 2,471.45, 3,708.45 and 1,084.32

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Solution

The fourth proportional to 2,471.45, 3,708.45 and 1,084.32 is: 1,627.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.45 : 3,708.45 = 1,084.32 : x
  2. Step 2: Convert to fraction form
    2,471.45/3,708.45 = 1,084.32/x
  3. Step 3: Cross multiply
    2,471.45x = 3,708.45 × 1,084.32
  4. Step 4: Simplify right side
    2,471.45x = 4,021,146.50
  5. Step 5: Solve for x
    x = 4,021,146.50/2,471.45
  6. Step 6: Final answer
    x = 1,627.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.