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Finding the Fourth Proportional to 2,800.39, 4,199.19 and 1,630.78

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Solution

The fourth proportional to 2,800.39, 4,199.19 and 1,630.78 is: 2,445.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.39 : 4,199.19 = 1,630.78 : x
  2. Step 2: Convert to fraction form
    2,800.39/4,199.19 = 1,630.78/x
  3. Step 3: Cross multiply
    2,800.39x = 4,199.19 × 1,630.78
  4. Step 4: Simplify right side
    2,800.39x = 6,847,955.07
  5. Step 5: Solve for x
    x = 6,847,955.07/2,800.39
  6. Step 6: Final answer
    x = 2,445.36

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