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Finding the Fourth Proportional to 3,419.12, 4,717.32 and 1,926.80

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Solution

The fourth proportional to 3,419.12, 4,717.32 and 1,926.80 is: 2,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.12 : 4,717.32 = 1,926.80 : x
  2. Step 2: Convert to fraction form
    3,419.12/4,717.32 = 1,926.80/x
  3. Step 3: Cross multiply
    3,419.12x = 4,717.32 × 1,926.80
  4. Step 4: Simplify right side
    3,419.12x = 9,089,332.18
  5. Step 5: Solve for x
    x = 9,089,332.18/3,419.12
  6. Step 6: Final answer
    x = 2,658.38

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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.