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Finding the Fourth Proportional to 2,185, 3,278.14 and 646.04

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Solution

The fourth proportional to 2,185, 3,278.14 and 646.04 is: 969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185 : 3,278.14 = 646.04 : x
  2. Step 2: Convert to fraction form
    2,185/3,278.14 = 646.04/x
  3. Step 3: Cross multiply
    2,185x = 3,278.14 × 646.04
  4. Step 4: Simplify right side
    2,185x = 2,117,809.57
  5. Step 5: Solve for x
    x = 2,117,809.57/2,185
  6. Step 6: Final answer
    x = 969.25

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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.