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Finding the Fourth Proportional to 2,909.26, 4,364.57 and 961.46

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Solution

The fourth proportional to 2,909.26, 4,364.57 and 961.46 is: 1,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.26 : 4,364.57 = 961.46 : x
  2. Step 2: Convert to fraction form
    2,909.26/4,364.57 = 961.46/x
  3. Step 3: Cross multiply
    2,909.26x = 4,364.57 × 961.46
  4. Step 4: Simplify right side
    2,909.26x = 4,196,352.81
  5. Step 5: Solve for x
    x = 4,196,352.81/2,909.26
  6. Step 6: Final answer
    x = 1,442.41

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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.