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Finding the Fourth Proportional to 2,438.91, 3,658.50 and 795.51

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Solution

The fourth proportional to 2,438.91, 3,658.50 and 795.51 is: 1,193.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.91 : 3,658.50 = 795.51 : x
  2. Step 2: Convert to fraction form
    2,438.91/3,658.50 = 795.51/x
  3. Step 3: Cross multiply
    2,438.91x = 3,658.50 × 795.51
  4. Step 4: Simplify right side
    2,438.91x = 2,910,373.34
  5. Step 5: Solve for x
    x = 2,910,373.34/2,438.91
  6. Step 6: Final answer
    x = 1,193.31

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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.