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Finding the Fourth Proportional to 2,057.60, 3,083.96 and 1,810.46

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Solution

The fourth proportional to 2,057.60, 3,083.96 and 1,810.46 is: 2,713.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.60 : 3,083.96 = 1,810.46 : x
  2. Step 2: Convert to fraction form
    2,057.60/3,083.96 = 1,810.46/x
  3. Step 3: Cross multiply
    2,057.60x = 3,083.96 × 1,810.46
  4. Step 4: Simplify right side
    2,057.60x = 5,583,386.22
  5. Step 5: Solve for x
    x = 5,583,386.22/2,057.60
  6. Step 6: Final answer
    x = 2,713.54

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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.