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Finding the Fourth Proportional to 2,941.66, 4,412.49 and 1,209.07

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Solution

The fourth proportional to 2,941.66, 4,412.49 and 1,209.07 is: 1,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.66 : 4,412.49 = 1,209.07 : x
  2. Step 2: Convert to fraction form
    2,941.66/4,412.49 = 1,209.07/x
  3. Step 3: Cross multiply
    2,941.66x = 4,412.49 × 1,209.07
  4. Step 4: Simplify right side
    2,941.66x = 5,335,009.28
  5. Step 5: Solve for x
    x = 5,335,009.28/2,941.66
  6. Step 6: Final answer
    x = 1,813.61

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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.