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Finding the Fourth Proportional to 3,263.69, 4,503.93 and 1,866.44

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Solution

The fourth proportional to 3,263.69, 4,503.93 and 1,866.44 is: 2,575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.69 : 4,503.93 = 1,866.44 : x
  2. Step 2: Convert to fraction form
    3,263.69/4,503.93 = 1,866.44/x
  3. Step 3: Cross multiply
    3,263.69x = 4,503.93 × 1,866.44
  4. Step 4: Simplify right side
    3,263.69x = 8,406,315.11
  5. Step 5: Solve for x
    x = 8,406,315.11/3,263.69
  6. Step 6: Final answer
    x = 2,575.71

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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.