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Finding the Fourth Proportional to 3,462, 4,777.56 and 1,890.22

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Solution

The fourth proportional to 3,462, 4,777.56 and 1,890.22 is: 2,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462 : 4,777.56 = 1,890.22 : x
  2. Step 2: Convert to fraction form
    3,462/4,777.56 = 1,890.22/x
  3. Step 3: Cross multiply
    3,462x = 4,777.56 × 1,890.22
  4. Step 4: Simplify right side
    3,462x = 9,030,639.46
  5. Step 5: Solve for x
    x = 9,030,639.46/3,462
  6. Step 6: Final answer
    x = 2,608.50

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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.