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Finding the Fourth Proportional to 2,410.31, 3,326.13 and 1,362.39

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Solution

The fourth proportional to 2,410.31, 3,326.13 and 1,362.39 is: 1,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.31 : 3,326.13 = 1,362.39 : x
  2. Step 2: Convert to fraction form
    2,410.31/3,326.13 = 1,362.39/x
  3. Step 3: Cross multiply
    2,410.31x = 3,326.13 × 1,362.39
  4. Step 4: Simplify right side
    2,410.31x = 4,531,486.25
  5. Step 5: Solve for x
    x = 4,531,486.25/2,410.31
  6. Step 6: Final answer
    x = 1,880.05

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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.