Home / 2,844.24-3,924.60-1,602

Finding the Fourth Proportional to 2,844.24, 3,924.60 and 1,602

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Solution

The fourth proportional to 2,844.24, 3,924.60 and 1,602 is: 2,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.24 : 3,924.60 = 1,602 : x
  2. Step 2: Convert to fraction form
    2,844.24/3,924.60 = 1,602/x
  3. Step 3: Cross multiply
    2,844.24x = 3,924.60 × 1,602
  4. Step 4: Simplify right side
    2,844.24x = 6,287,209.20
  5. Step 5: Solve for x
    x = 6,287,209.20/2,844.24
  6. Step 6: Final answer
    x = 2,210.51

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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.