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Finding the Fourth Proportional to 2,844, 3,924.88 and 1,602.08

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Solution

The fourth proportional to 2,844, 3,924.88 and 1,602.08 is: 2,210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844 : 3,924.88 = 1,602.08 : x
  2. Step 2: Convert to fraction form
    2,844/3,924.88 = 1,602.08/x
  3. Step 3: Cross multiply
    2,844x = 3,924.88 × 1,602.08
  4. Step 4: Simplify right side
    2,844x = 6,287,971.75
  5. Step 5: Solve for x
    x = 6,287,971.75/2,844
  6. Step 6: Final answer
    x = 2,210.96

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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.