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Finding the Fourth Proportional to 2,185, 3,277.50 and 646

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Solution

The fourth proportional to 2,185, 3,277.50 and 646 is: 969

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185 : 3,277.50 = 646 : x
  2. Step 2: Convert to fraction form
    2,185/3,277.50 = 646/x
  3. Step 3: Cross multiply
    2,185x = 3,277.50 × 646
  4. Step 4: Simplify right side
    2,185x = 2,117,265
  5. Step 5: Solve for x
    x = 2,117,265/2,185
  6. Step 6: Final answer
    x = 969

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Why These Related Problems?

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