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Finding the Fourth Proportional to 3,297, 4,549.86 and 1,825

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Solution

The fourth proportional to 3,297, 4,549.86 and 1,825 is: 2,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297 : 4,549.86 = 1,825 : x
  2. Step 2: Convert to fraction form
    3,297/4,549.86 = 1,825/x
  3. Step 3: Cross multiply
    3,297x = 4,549.86 × 1,825
  4. Step 4: Simplify right side
    3,297x = 8,303,494.50
  5. Step 5: Solve for x
    x = 8,303,494.50/3,297
  6. Step 6: Final answer
    x = 2,518.50

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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.