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Finding the Fourth Proportional to 2,407.94, 3,613.26 and 1,109.51

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Solution

The fourth proportional to 2,407.94, 3,613.26 and 1,109.51 is: 1,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.94 : 3,613.26 = 1,109.51 : x
  2. Step 2: Convert to fraction form
    2,407.94/3,613.26 = 1,109.51/x
  3. Step 3: Cross multiply
    2,407.94x = 3,613.26 × 1,109.51
  4. Step 4: Simplify right side
    2,407.94x = 4,008,930.04
  5. Step 5: Solve for x
    x = 4,008,930.04/2,407.94
  6. Step 6: Final answer
    x = 1,664.88

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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.