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Finding the Fourth Proportional to 1,945.25, 2,916.69 and 775.43

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Solution

The fourth proportional to 1,945.25, 2,916.69 and 775.43 is: 1,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.25 : 2,916.69 = 775.43 : x
  2. Step 2: Convert to fraction form
    1,945.25/2,916.69 = 775.43/x
  3. Step 3: Cross multiply
    1,945.25x = 2,916.69 × 775.43
  4. Step 4: Simplify right side
    1,945.25x = 2,261,685.28
  5. Step 5: Solve for x
    x = 2,261,685.28/1,945.25
  6. Step 6: Final answer
    x = 1,162.67

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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.