Home / 2,844.08-3,924.68-1,602

Finding the Fourth Proportional to 2,844.08, 3,924.68 and 1,602

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Solution

The fourth proportional to 2,844.08, 3,924.68 and 1,602 is: 2,210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.08 : 3,924.68 = 1,602 : x
  2. Step 2: Convert to fraction form
    2,844.08/3,924.68 = 1,602/x
  3. Step 3: Cross multiply
    2,844.08x = 3,924.68 × 1,602
  4. Step 4: Simplify right side
    2,844.08x = 6,287,337.36
  5. Step 5: Solve for x
    x = 6,287,337.36/2,844.08
  6. Step 6: Final answer
    x = 2,210.68

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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.