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Finding the Fourth Proportional to 3,218.69, 4,830.74 and 1,272.26

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Solution

The fourth proportional to 3,218.69, 4,830.74 and 1,272.26 is: 1,909.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.69 : 4,830.74 = 1,272.26 : x
  2. Step 2: Convert to fraction form
    3,218.69/4,830.74 = 1,272.26/x
  3. Step 3: Cross multiply
    3,218.69x = 4,830.74 × 1,272.26
  4. Step 4: Simplify right side
    3,218.69x = 6,145,926.76
  5. Step 5: Solve for x
    x = 6,145,926.76/3,218.69
  6. Step 6: Final answer
    x = 1,909.45

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