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Finding the Fourth Proportional to 2,055.02, 3,080.58 and 755.50

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Solution

The fourth proportional to 2,055.02, 3,080.58 and 755.50 is: 1,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.02 : 3,080.58 = 755.50 : x
  2. Step 2: Convert to fraction form
    2,055.02/3,080.58 = 755.50/x
  3. Step 3: Cross multiply
    2,055.02x = 3,080.58 × 755.50
  4. Step 4: Simplify right side
    2,055.02x = 2,327,378.19
  5. Step 5: Solve for x
    x = 2,327,378.19/2,055.02
  6. Step 6: Final answer
    x = 1,132.53

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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.