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Finding the Fourth Proportional to 1,977.84, 2,964.76 and 678.44

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Solution

The fourth proportional to 1,977.84, 2,964.76 and 678.44 is: 1,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.84 : 2,964.76 = 678.44 : x
  2. Step 2: Convert to fraction form
    1,977.84/2,964.76 = 678.44/x
  3. Step 3: Cross multiply
    1,977.84x = 2,964.76 × 678.44
  4. Step 4: Simplify right side
    1,977.84x = 2,011,411.77
  5. Step 5: Solve for x
    x = 2,011,411.77/1,977.84
  6. Step 6: Final answer
    x = 1,016.97

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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.