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Finding the Fourth Proportional to 1,815, 2,504.46 and 1,029

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Solution

The fourth proportional to 1,815, 2,504.46 and 1,029 is: 1,419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815 : 2,504.46 = 1,029 : x
  2. Step 2: Convert to fraction form
    1,815/2,504.46 = 1,029/x
  3. Step 3: Cross multiply
    1,815x = 2,504.46 × 1,029
  4. Step 4: Simplify right side
    1,815x = 2,577,089.34
  5. Step 5: Solve for x
    x = 2,577,089.34/1,815
  6. Step 6: Final answer
    x = 1,419.88

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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.