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Finding the Fourth Proportional to 1,977.41, 2,965.82 and 807.37

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Solution

The fourth proportional to 1,977.41, 2,965.82 and 807.37 is: 1,210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.41 : 2,965.82 = 807.37 : x
  2. Step 2: Convert to fraction form
    1,977.41/2,965.82 = 807.37/x
  3. Step 3: Cross multiply
    1,977.41x = 2,965.82 × 807.37
  4. Step 4: Simplify right side
    1,977.41x = 2,394,502.64
  5. Step 5: Solve for x
    x = 2,394,502.64/1,977.41
  6. Step 6: Final answer
    x = 1,210.93

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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.