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Finding the Fourth Proportional to 2,836, 3,913.76 and 1,594.08

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Solution

The fourth proportional to 2,836, 3,913.76 and 1,594.08 is: 2,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836 : 3,913.76 = 1,594.08 : x
  2. Step 2: Convert to fraction form
    2,836/3,913.76 = 1,594.08/x
  3. Step 3: Cross multiply
    2,836x = 3,913.76 × 1,594.08
  4. Step 4: Simplify right side
    2,836x = 6,238,846.54
  5. Step 5: Solve for x
    x = 6,238,846.54/2,836
  6. Step 6: Final answer
    x = 2,199.88

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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.