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Finding the Fourth Proportional to 1,535.08, 2,300.82 and 755.44

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Solution

The fourth proportional to 1,535.08, 2,300.82 and 755.44 is: 1,132.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.08 : 2,300.82 = 755.44 : x
  2. Step 2: Convert to fraction form
    1,535.08/2,300.82 = 755.44/x
  3. Step 3: Cross multiply
    1,535.08x = 2,300.82 × 755.44
  4. Step 4: Simplify right side
    1,535.08x = 1,738,131.46
  5. Step 5: Solve for x
    x = 1,738,131.46/1,535.08
  6. Step 6: Final answer
    x = 1,132.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.