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Finding the Fourth Proportional to 2,057.58, 2,837.57 and 1,820.66

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Solution

The fourth proportional to 2,057.58, 2,837.57 and 1,820.66 is: 2,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.58 : 2,837.57 = 1,820.66 : x
  2. Step 2: Convert to fraction form
    2,057.58/2,837.57 = 1,820.66/x
  3. Step 3: Cross multiply
    2,057.58x = 2,837.57 × 1,820.66
  4. Step 4: Simplify right side
    2,057.58x = 5,166,226.91
  5. Step 5: Solve for x
    x = 5,166,226.91/2,057.58
  6. Step 6: Final answer
    x = 2,510.83

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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.