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Finding the Fourth Proportional to 1,813.95, 2,502.83 and 1,057.61

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Solution

The fourth proportional to 1,813.95, 2,502.83 and 1,057.61 is: 1,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.95 : 2,502.83 = 1,057.61 : x
  2. Step 2: Convert to fraction form
    1,813.95/2,502.83 = 1,057.61/x
  3. Step 3: Cross multiply
    1,813.95x = 2,502.83 × 1,057.61
  4. Step 4: Simplify right side
    1,813.95x = 2,647,018.04
  5. Step 5: Solve for x
    x = 2,647,018.04/1,813.95
  6. Step 6: Final answer
    x = 1,459.26

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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.