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Finding the Fourth Proportional to 3,374.81, 4,657.65 and 1,977.56

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Solution

The fourth proportional to 3,374.81, 4,657.65 and 1,977.56 is: 2,729.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.81 : 4,657.65 = 1,977.56 : x
  2. Step 2: Convert to fraction form
    3,374.81/4,657.65 = 1,977.56/x
  3. Step 3: Cross multiply
    3,374.81x = 4,657.65 × 1,977.56
  4. Step 4: Simplify right side
    3,374.81x = 9,210,782.33
  5. Step 5: Solve for x
    x = 9,210,782.33/3,374.81
  6. Step 6: Final answer
    x = 2,729.27

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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.