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Finding the Fourth Proportional to 2,185.64, 3,278.42 and 646.64

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Solution

The fourth proportional to 2,185.64, 3,278.42 and 646.64 is: 969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.64 : 3,278.42 = 646.64 : x
  2. Step 2: Convert to fraction form
    2,185.64/3,278.42 = 646.64/x
  3. Step 3: Cross multiply
    2,185.64x = 3,278.42 × 646.64
  4. Step 4: Simplify right side
    2,185.64x = 2,119,957.51
  5. Step 5: Solve for x
    x = 2,119,957.51/2,185.64
  6. Step 6: Final answer
    x = 969.95

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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.