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Finding the Fourth Proportional to 2,053.80, 3,080.40 and 754.98

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Solution

The fourth proportional to 2,053.80, 3,080.40 and 754.98 is: 1,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.80 : 3,080.40 = 754.98 : x
  2. Step 2: Convert to fraction form
    2,053.80/3,080.40 = 754.98/x
  3. Step 3: Cross multiply
    2,053.80x = 3,080.40 × 754.98
  4. Step 4: Simplify right side
    2,053.80x = 2,325,640.39
  5. Step 5: Solve for x
    x = 2,325,640.39/2,053.80
  6. Step 6: Final answer
    x = 1,132.36

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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.