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Finding the Fourth Proportional to 2,824.40, 3,898.21 and 1,630.16

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Solution

The fourth proportional to 2,824.40, 3,898.21 and 1,630.16 is: 2,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.40 : 3,898.21 = 1,630.16 : x
  2. Step 2: Convert to fraction form
    2,824.40/3,898.21 = 1,630.16/x
  3. Step 3: Cross multiply
    2,824.40x = 3,898.21 × 1,630.16
  4. Step 4: Simplify right side
    2,824.40x = 6,354,706.01
  5. Step 5: Solve for x
    x = 6,354,706.01/2,824.40
  6. Step 6: Final answer
    x = 2,249.93

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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.