Home / 2,064-2,848.44-1,180.08

Finding the Fourth Proportional to 2,064, 2,848.44 and 1,180.08

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Solution

The fourth proportional to 2,064, 2,848.44 and 1,180.08 is: 1,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064 : 2,848.44 = 1,180.08 : x
  2. Step 2: Convert to fraction form
    2,064/2,848.44 = 1,180.08/x
  3. Step 3: Cross multiply
    2,064x = 2,848.44 × 1,180.08
  4. Step 4: Simplify right side
    2,064x = 3,361,387.08
  5. Step 5: Solve for x
    x = 3,361,387.08/2,064
  6. Step 6: Final answer
    x = 1,628.58

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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.