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Finding the Fourth Proportional to 3,095.78, 4,643.57 and 755.80

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Solution

The fourth proportional to 3,095.78, 4,643.57 and 755.80 is: 1,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.78 : 4,643.57 = 755.80 : x
  2. Step 2: Convert to fraction form
    3,095.78/4,643.57 = 755.80/x
  3. Step 3: Cross multiply
    3,095.78x = 4,643.57 × 755.80
  4. Step 4: Simplify right side
    3,095.78x = 3,509,596.25
  5. Step 5: Solve for x
    x = 3,509,596.25/3,095.78
  6. Step 6: Final answer
    x = 1,133.67

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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.