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Finding the Fourth Proportional to 2,339.99, 3,513.05 and 1,823.31

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Solution

The fourth proportional to 2,339.99, 3,513.05 and 1,823.31 is: 2,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.99 : 3,513.05 = 1,823.31 : x
  2. Step 2: Convert to fraction form
    2,339.99/3,513.05 = 1,823.31/x
  3. Step 3: Cross multiply
    2,339.99x = 3,513.05 × 1,823.31
  4. Step 4: Simplify right side
    2,339.99x = 6,405,370.08
  5. Step 5: Solve for x
    x = 6,405,370.08/2,339.99
  6. Step 6: Final answer
    x = 2,737.36

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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.