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Finding the Fourth Proportional to 2,573.70, 3,861.06 and 930.06

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Solution

The fourth proportional to 2,573.70, 3,861.06 and 930.06 is: 1,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.70 : 3,861.06 = 930.06 : x
  2. Step 2: Convert to fraction form
    2,573.70/3,861.06 = 930.06/x
  3. Step 3: Cross multiply
    2,573.70x = 3,861.06 × 930.06
  4. Step 4: Simplify right side
    2,573.70x = 3,591,017.46
  5. Step 5: Solve for x
    x = 3,591,017.46/2,573.70
  6. Step 6: Final answer
    x = 1,395.27

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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.