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Finding the Fourth Proportional to 3,090.70, 4,638.48 and 1,143.46

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Solution

The fourth proportional to 3,090.70, 4,638.48 and 1,143.46 is: 1,716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.70 : 4,638.48 = 1,143.46 : x
  2. Step 2: Convert to fraction form
    3,090.70/4,638.48 = 1,143.46/x
  3. Step 3: Cross multiply
    3,090.70x = 4,638.48 × 1,143.46
  4. Step 4: Simplify right side
    3,090.70x = 5,303,916.34
  5. Step 5: Solve for x
    x = 5,303,916.34/3,090.70
  6. Step 6: Final answer
    x = 1,716.09

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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.