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Finding the Fourth Proportional to 2,393.96, 3,583.44 and 1,661.31

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Solution

The fourth proportional to 2,393.96, 3,583.44 and 1,661.31 is: 2,486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.96 : 3,583.44 = 1,661.31 : x
  2. Step 2: Convert to fraction form
    2,393.96/3,583.44 = 1,661.31/x
  3. Step 3: Cross multiply
    2,393.96x = 3,583.44 × 1,661.31
  4. Step 4: Simplify right side
    2,393.96x = 5,953,204.71
  5. Step 5: Solve for x
    x = 5,953,204.71/2,393.96
  6. Step 6: Final answer
    x = 2,486.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.