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Finding the Fourth Proportional to 2,795.17, 4,192.62 and 945.67

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Solution

The fourth proportional to 2,795.17, 4,192.62 and 945.67 is: 1,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.17 : 4,192.62 = 945.67 : x
  2. Step 2: Convert to fraction form
    2,795.17/4,192.62 = 945.67/x
  3. Step 3: Cross multiply
    2,795.17x = 4,192.62 × 945.67
  4. Step 4: Simplify right side
    2,795.17x = 3,964,834.96
  5. Step 5: Solve for x
    x = 3,964,834.96/2,795.17
  6. Step 6: Final answer
    x = 1,418.46

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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.