Home / 1,824.12-2,734.56-1,053

Finding the Fourth Proportional to 1,824.12, 2,734.56 and 1,053

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Solution

The fourth proportional to 1,824.12, 2,734.56 and 1,053 is: 1,578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.12 : 2,734.56 = 1,053 : x
  2. Step 2: Convert to fraction form
    1,824.12/2,734.56 = 1,053/x
  3. Step 3: Cross multiply
    1,824.12x = 2,734.56 × 1,053
  4. Step 4: Simplify right side
    1,824.12x = 2,879,491.68
  5. Step 5: Solve for x
    x = 2,879,491.68/1,824.12
  6. Step 6: Final answer
    x = 1,578.56

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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.