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Finding the Fourth Proportional to 2,705.10, 4,062.45 and 2,090.30

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Solution

The fourth proportional to 2,705.10, 4,062.45 and 2,090.30 is: 3,139.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.10 : 4,062.45 = 2,090.30 : x
  2. Step 2: Convert to fraction form
    2,705.10/4,062.45 = 2,090.30/x
  3. Step 3: Cross multiply
    2,705.10x = 4,062.45 × 2,090.30
  4. Step 4: Simplify right side
    2,705.10x = 8,491,739.24
  5. Step 5: Solve for x
    x = 8,491,739.24/2,705.10
  6. Step 6: Final answer
    x = 3,139.16

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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.