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Finding the Fourth Proportional to 3,204.69, 4,421.75 and 1,860.09

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Solution

The fourth proportional to 3,204.69, 4,421.75 and 1,860.09 is: 2,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.69 : 4,421.75 = 1,860.09 : x
  2. Step 2: Convert to fraction form
    3,204.69/4,421.75 = 1,860.09/x
  3. Step 3: Cross multiply
    3,204.69x = 4,421.75 × 1,860.09
  4. Step 4: Simplify right side
    3,204.69x = 8,224,852.96
  5. Step 5: Solve for x
    x = 8,224,852.96/3,204.69
  6. Step 6: Final answer
    x = 2,566.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.