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Finding the Fourth Proportional to 1,600.80, 2,410.40 and 1,192.80

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Solution

The fourth proportional to 1,600.80, 2,410.40 and 1,192.80 is: 1,796.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.80 : 2,410.40 = 1,192.80 : x
  2. Step 2: Convert to fraction form
    1,600.80/2,410.40 = 1,192.80/x
  3. Step 3: Cross multiply
    1,600.80x = 2,410.40 × 1,192.80
  4. Step 4: Simplify right side
    1,600.80x = 2,875,125.12
  5. Step 5: Solve for x
    x = 2,875,125.12/1,600.80
  6. Step 6: Final answer
    x = 1,796.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.