Home / 1,824.54-2,733.93-1,412.70

Finding the Fourth Proportional to 1,824.54, 2,733.93 and 1,412.70

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Solution

The fourth proportional to 1,824.54, 2,733.93 and 1,412.70 is: 2,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.54 : 2,733.93 = 1,412.70 : x
  2. Step 2: Convert to fraction form
    1,824.54/2,733.93 = 1,412.70/x
  3. Step 3: Cross multiply
    1,824.54x = 2,733.93 × 1,412.70
  4. Step 4: Simplify right side
    1,824.54x = 3,862,222.91
  5. Step 5: Solve for x
    x = 3,862,222.91/1,824.54
  6. Step 6: Final answer
    x = 2,116.82

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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.