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Finding the Fourth Proportional to 2,057.85, 2,836.53 and 1,615.01

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Solution

The fourth proportional to 2,057.85, 2,836.53 and 1,615.01 is: 2,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.85 : 2,836.53 = 1,615.01 : x
  2. Step 2: Convert to fraction form
    2,057.85/2,836.53 = 1,615.01/x
  3. Step 3: Cross multiply
    2,057.85x = 2,836.53 × 1,615.01
  4. Step 4: Simplify right side
    2,057.85x = 4,581,010.13
  5. Step 5: Solve for x
    x = 4,581,010.13/2,057.85
  6. Step 6: Final answer
    x = 2,226.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.