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Finding the Fourth Proportional to 2,708.40, 4,063 and 1,884.62

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Solution

The fourth proportional to 2,708.40, 4,063 and 1,884.62 is: 2,827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.40 : 4,063 = 1,884.62 : x
  2. Step 2: Convert to fraction form
    2,708.40/4,063 = 1,884.62/x
  3. Step 3: Cross multiply
    2,708.40x = 4,063 × 1,884.62
  4. Step 4: Simplify right side
    2,708.40x = 7,657,211.06
  5. Step 5: Solve for x
    x = 7,657,211.06/2,708.40
  6. Step 6: Final answer
    x = 2,827.21

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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.