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Finding the Fourth Proportional to 1,964.73, 2,712.14 and 1,178.63

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Solution

The fourth proportional to 1,964.73, 2,712.14 and 1,178.63 is: 1,626.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.73 : 2,712.14 = 1,178.63 : x
  2. Step 2: Convert to fraction form
    1,964.73/2,712.14 = 1,178.63/x
  3. Step 3: Cross multiply
    1,964.73x = 2,712.14 × 1,178.63
  4. Step 4: Simplify right side
    1,964.73x = 3,196,598.95
  5. Step 5: Solve for x
    x = 3,196,598.95/1,964.73
  6. Step 6: Final answer
    x = 1,626.99

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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.