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Finding the Fourth Proportional to 1,977.89, 2,965.80 and 807.24

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Solution

The fourth proportional to 1,977.89, 2,965.80 and 807.24 is: 1,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.89 : 2,965.80 = 807.24 : x
  2. Step 2: Convert to fraction form
    1,977.89/2,965.80 = 807.24/x
  3. Step 3: Cross multiply
    1,977.89x = 2,965.80 × 807.24
  4. Step 4: Simplify right side
    1,977.89x = 2,394,105.32
  5. Step 5: Solve for x
    x = 2,394,105.32/1,977.89
  6. Step 6: Final answer
    x = 1,210.43

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1.5x scale

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.