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Finding the Fourth Proportional to 2,407.16, 3,321.13 and 1,412.48

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Solution

The fourth proportional to 2,407.16, 3,321.13 and 1,412.48 is: 1,948.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.16 : 3,321.13 = 1,412.48 : x
  2. Step 2: Convert to fraction form
    2,407.16/3,321.13 = 1,412.48/x
  3. Step 3: Cross multiply
    2,407.16x = 3,321.13 × 1,412.48
  4. Step 4: Simplify right side
    2,407.16x = 4,691,022.64
  5. Step 5: Solve for x
    x = 4,691,022.64/2,407.16
  6. Step 6: Final answer
    x = 1,948.78

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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.