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Finding the Fourth Proportional to 2,407.31, 3,321.15 and 1,412.22

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Solution

The fourth proportional to 2,407.31, 3,321.15 and 1,412.22 is: 1,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.31 : 3,321.15 = 1,412.22 : x
  2. Step 2: Convert to fraction form
    2,407.31/3,321.15 = 1,412.22/x
  3. Step 3: Cross multiply
    2,407.31x = 3,321.15 × 1,412.22
  4. Step 4: Simplify right side
    2,407.31x = 4,690,194.45
  5. Step 5: Solve for x
    x = 4,690,194.45/2,407.31
  6. Step 6: Final answer
    x = 1,948.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.