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Finding the Fourth Proportional to 1,803.82, 2,489.32 and 1,057.84

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Solution

The fourth proportional to 1,803.82, 2,489.32 and 1,057.84 is: 1,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.82 : 2,489.32 = 1,057.84 : x
  2. Step 2: Convert to fraction form
    1,803.82/2,489.32 = 1,057.84/x
  3. Step 3: Cross multiply
    1,803.82x = 2,489.32 × 1,057.84
  4. Step 4: Simplify right side
    1,803.82x = 2,633,302.27
  5. Step 5: Solve for x
    x = 2,633,302.27/1,803.82
  6. Step 6: Final answer
    x = 1,459.85

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Why These Related Problems?

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