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Finding the Fourth Proportional to 1,851.80, 2,777.70 and 1,419.26

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Solution

The fourth proportional to 1,851.80, 2,777.70 and 1,419.26 is: 2,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.80 : 2,777.70 = 1,419.26 : x
  2. Step 2: Convert to fraction form
    1,851.80/2,777.70 = 1,419.26/x
  3. Step 3: Cross multiply
    1,851.80x = 2,777.70 × 1,419.26
  4. Step 4: Simplify right side
    1,851.80x = 3,942,278.50
  5. Step 5: Solve for x
    x = 3,942,278.50/1,851.80
  6. Step 6: Final answer
    x = 2,128.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.