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Finding the Fourth Proportional to 1,777.68, 2,453.76 and 1,684.80

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Solution

The fourth proportional to 1,777.68, 2,453.76 and 1,684.80 is: 2,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.68 : 2,453.76 = 1,684.80 : x
  2. Step 2: Convert to fraction form
    1,777.68/2,453.76 = 1,684.80/x
  3. Step 3: Cross multiply
    1,777.68x = 2,453.76 × 1,684.80
  4. Step 4: Simplify right side
    1,777.68x = 4,134,094.85
  5. Step 5: Solve for x
    x = 4,134,094.85/1,777.68
  6. Step 6: Final answer
    x = 2,325.56

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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.