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Finding the Fourth Proportional to 2,815.48, 3,885.30 and 1,636.54

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Solution

The fourth proportional to 2,815.48, 3,885.30 and 1,636.54 is: 2,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.48 : 3,885.30 = 1,636.54 : x
  2. Step 2: Convert to fraction form
    2,815.48/3,885.30 = 1,636.54/x
  3. Step 3: Cross multiply
    2,815.48x = 3,885.30 × 1,636.54
  4. Step 4: Simplify right side
    2,815.48x = 6,358,448.86
  5. Step 5: Solve for x
    x = 6,358,448.86/2,815.48
  6. Step 6: Final answer
    x = 2,258.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.