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Finding the Fourth Proportional to 2,407.34, 3,322.68 and 1,412.66

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Solution

The fourth proportional to 2,407.34, 3,322.68 and 1,412.66 is: 1,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.34 : 3,322.68 = 1,412.66 : x
  2. Step 2: Convert to fraction form
    2,407.34/3,322.68 = 1,412.66/x
  3. Step 3: Cross multiply
    2,407.34x = 3,322.68 × 1,412.66
  4. Step 4: Simplify right side
    2,407.34x = 4,693,817.13
  5. Step 5: Solve for x
    x = 4,693,817.13/2,407.34
  6. Step 6: Final answer
    x = 1,949.79

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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.