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Finding the Fourth Proportional to 2,835.07, 4,252.85 and 755.08

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Solution

The fourth proportional to 2,835.07, 4,252.85 and 755.08 is: 1,132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.07 : 4,252.85 = 755.08 : x
  2. Step 2: Convert to fraction form
    2,835.07/4,252.85 = 755.08/x
  3. Step 3: Cross multiply
    2,835.07x = 4,252.85 × 755.08
  4. Step 4: Simplify right side
    2,835.07x = 3,211,216.94
  5. Step 5: Solve for x
    x = 3,211,216.94/2,835.07
  6. Step 6: Final answer
    x = 1,132.68

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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.