Home / 2,824.94-3,898.43-1,566.08

Finding the Fourth Proportional to 2,824.94, 3,898.43 and 1,566.08

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Solution

The fourth proportional to 2,824.94, 3,898.43 and 1,566.08 is: 2,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.94 : 3,898.43 = 1,566.08 : x
  2. Step 2: Convert to fraction form
    2,824.94/3,898.43 = 1,566.08/x
  3. Step 3: Cross multiply
    2,824.94x = 3,898.43 × 1,566.08
  4. Step 4: Simplify right side
    2,824.94x = 6,105,268.35
  5. Step 5: Solve for x
    x = 6,105,268.35/2,824.94
  6. Step 6: Final answer
    x = 2,161.20

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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.