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Finding the Fourth Proportional to 1,786.49, 2,465.21 and 1,000.43

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Solution

The fourth proportional to 1,786.49, 2,465.21 and 1,000.43 is: 1,380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.49 : 2,465.21 = 1,000.43 : x
  2. Step 2: Convert to fraction form
    1,786.49/2,465.21 = 1,000.43/x
  3. Step 3: Cross multiply
    1,786.49x = 2,465.21 × 1,000.43
  4. Step 4: Simplify right side
    1,786.49x = 2,466,260.22
  5. Step 5: Solve for x
    x = 2,466,260.22/1,786.49
  6. Step 6: Final answer
    x = 1,380.51

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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.