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Finding the Fourth Proportional to 2,053.74, 3,080.62 and 755.20

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Solution

The fourth proportional to 2,053.74, 3,080.62 and 755.20 is: 1,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.74 : 3,080.62 = 755.20 : x
  2. Step 2: Convert to fraction form
    2,053.74/3,080.62 = 755.20/x
  3. Step 3: Cross multiply
    2,053.74x = 3,080.62 × 755.20
  4. Step 4: Simplify right side
    2,053.74x = 2,326,484.22
  5. Step 5: Solve for x
    x = 2,326,484.22/2,053.74
  6. Step 6: Final answer
    x = 1,132.80

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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.