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Finding the Fourth Proportional to 2,256.56, 3,384.76 and 795.67

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Solution

The fourth proportional to 2,256.56, 3,384.76 and 795.67 is: 1,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.56 : 3,384.76 = 795.67 : x
  2. Step 2: Convert to fraction form
    2,256.56/3,384.76 = 795.67/x
  3. Step 3: Cross multiply
    2,256.56x = 3,384.76 × 795.67
  4. Step 4: Simplify right side
    2,256.56x = 2,693,151.99
  5. Step 5: Solve for x
    x = 2,693,151.99/2,256.56
  6. Step 6: Final answer
    x = 1,193.48

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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.