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Finding the Fourth Proportional to 2,901.69, 4,352.84 and 926.85

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Solution

The fourth proportional to 2,901.69, 4,352.84 and 926.85 is: 1,390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.69 : 4,352.84 = 926.85 : x
  2. Step 2: Convert to fraction form
    2,901.69/4,352.84 = 926.85/x
  3. Step 3: Cross multiply
    2,901.69x = 4,352.84 × 926.85
  4. Step 4: Simplify right side
    2,901.69x = 4,034,429.75
  5. Step 5: Solve for x
    x = 4,034,429.75/2,901.69
  6. Step 6: Final answer
    x = 1,390.37

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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.