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Finding the Fourth Proportional to 2,090.70, 3,136.05 and 1,313.10

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Solution

The fourth proportional to 2,090.70, 3,136.05 and 1,313.10 is: 1,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.70 : 3,136.05 = 1,313.10 : x
  2. Step 2: Convert to fraction form
    2,090.70/3,136.05 = 1,313.10/x
  3. Step 3: Cross multiply
    2,090.70x = 3,136.05 × 1,313.10
  4. Step 4: Simplify right side
    2,090.70x = 4,117,947.26
  5. Step 5: Solve for x
    x = 4,117,947.26/2,090.70
  6. Step 6: Final answer
    x = 1,969.65

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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.