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Finding the Fourth Proportional to 3,265.58, 4,894.06 and 1,785.46

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Solution

The fourth proportional to 3,265.58, 4,894.06 and 1,785.46 is: 2,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.58 : 4,894.06 = 1,785.46 : x
  2. Step 2: Convert to fraction form
    3,265.58/4,894.06 = 1,785.46/x
  3. Step 3: Cross multiply
    3,265.58x = 4,894.06 × 1,785.46
  4. Step 4: Simplify right side
    3,265.58x = 8,738,148.37
  5. Step 5: Solve for x
    x = 8,738,148.37/3,265.58
  6. Step 6: Final answer
    x = 2,675.83

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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.