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Finding the Fourth Proportional to 1,795.34, 2,694.03 and 974.07

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Solution

The fourth proportional to 1,795.34, 2,694.03 and 974.07 is: 1,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.34 : 2,694.03 = 974.07 : x
  2. Step 2: Convert to fraction form
    1,795.34/2,694.03 = 974.07/x
  3. Step 3: Cross multiply
    1,795.34x = 2,694.03 × 974.07
  4. Step 4: Simplify right side
    1,795.34x = 2,624,173.80
  5. Step 5: Solve for x
    x = 2,624,173.80/1,795.34
  6. Step 6: Final answer
    x = 1,461.66

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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.