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Finding the Fourth Proportional to 3,366.90, 4,646.16 and 2,109.24

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Solution

The fourth proportional to 3,366.90, 4,646.16 and 2,109.24 is: 2,910.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,366.90 : 4,646.16 = 2,109.24 : x
  2. Step 2: Convert to fraction form
    3,366.90/4,646.16 = 2,109.24/x
  3. Step 3: Cross multiply
    3,366.90x = 4,646.16 × 2,109.24
  4. Step 4: Simplify right side
    3,366.90x = 9,799,866.52
  5. Step 5: Solve for x
    x = 9,799,866.52/3,366.90
  6. Step 6: Final answer
    x = 2,910.65

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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.