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Finding the Fourth Proportional to 2,407.41, 3,322.31 and 1,359.45

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Solution

The fourth proportional to 2,407.41, 3,322.31 and 1,359.45 is: 1,876.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.41 : 3,322.31 = 1,359.45 : x
  2. Step 2: Convert to fraction form
    2,407.41/3,322.31 = 1,359.45/x
  3. Step 3: Cross multiply
    2,407.41x = 3,322.31 × 1,359.45
  4. Step 4: Simplify right side
    2,407.41x = 4,516,514.33
  5. Step 5: Solve for x
    x = 4,516,514.33/2,407.41
  6. Step 6: Final answer
    x = 1,876.09

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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.