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Finding the Fourth Proportional to 1,977, 2,727.42 and 1,811.76

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Solution

The fourth proportional to 1,977, 2,727.42 and 1,811.76 is: 2,499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977 : 2,727.42 = 1,811.76 : x
  2. Step 2: Convert to fraction form
    1,977/2,727.42 = 1,811.76/x
  3. Step 3: Cross multiply
    1,977x = 2,727.42 × 1,811.76
  4. Step 4: Simplify right side
    1,977x = 4,941,430.46
  5. Step 5: Solve for x
    x = 4,941,430.46/1,977
  6. Step 6: Final answer
    x = 2,499.46

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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.