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Finding the Fourth Proportional to 2,815.79, 3,885.30 and 1,636.61

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Solution

The fourth proportional to 2,815.79, 3,885.30 and 1,636.61 is: 2,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.79 : 3,885.30 = 1,636.61 : x
  2. Step 2: Convert to fraction form
    2,815.79/3,885.30 = 1,636.61/x
  3. Step 3: Cross multiply
    2,815.79x = 3,885.30 × 1,636.61
  4. Step 4: Simplify right side
    2,815.79x = 6,358,701.41
  5. Step 5: Solve for x
    x = 6,358,701.41/2,815.79
  6. Step 6: Final answer
    x = 2,258.23

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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.