Home / 1,828.66-2,740.24-1,097.44

Finding the Fourth Proportional to 1,828.66, 2,740.24 and 1,097.44

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Solution

The fourth proportional to 1,828.66, 2,740.24 and 1,097.44 is: 1,644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.66 : 2,740.24 = 1,097.44 : x
  2. Step 2: Convert to fraction form
    1,828.66/2,740.24 = 1,097.44/x
  3. Step 3: Cross multiply
    1,828.66x = 2,740.24 × 1,097.44
  4. Step 4: Simplify right side
    1,828.66x = 3,007,248.99
  5. Step 5: Solve for x
    x = 3,007,248.99/1,828.66
  6. Step 6: Final answer
    x = 1,644.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.