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Finding the Fourth Proportional to 1,977.45, 2,966.67 and 678.91

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Solution

The fourth proportional to 1,977.45, 2,966.67 and 678.91 is: 1,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.45 : 2,966.67 = 678.91 : x
  2. Step 2: Convert to fraction form
    1,977.45/2,966.67 = 678.91/x
  3. Step 3: Cross multiply
    1,977.45x = 2,966.67 × 678.91
  4. Step 4: Simplify right side
    1,977.45x = 2,014,101.93
  5. Step 5: Solve for x
    x = 2,014,101.93/1,977.45
  6. Step 6: Final answer
    x = 1,018.53

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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.