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Finding the Fourth Proportional to 2,178.63, 3,268.16 and 618.70

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Solution

The fourth proportional to 2,178.63, 3,268.16 and 618.70 is: 928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.63 : 3,268.16 = 618.70 : x
  2. Step 2: Convert to fraction form
    2,178.63/3,268.16 = 618.70/x
  3. Step 3: Cross multiply
    2,178.63x = 3,268.16 × 618.70
  4. Step 4: Simplify right side
    2,178.63x = 2,022,007.50
  5. Step 5: Solve for x
    x = 2,022,007.50/2,178.63
  6. Step 6: Final answer
    x = 928.11

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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.