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Finding the Fourth Proportional to 2,438.81, 3,658.28 and 795.45

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Solution

The fourth proportional to 2,438.81, 3,658.28 and 795.45 is: 1,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.81 : 3,658.28 = 795.45 : x
  2. Step 2: Convert to fraction form
    2,438.81/3,658.28 = 795.45/x
  3. Step 3: Cross multiply
    2,438.81x = 3,658.28 × 795.45
  4. Step 4: Simplify right side
    2,438.81x = 2,909,978.83
  5. Step 5: Solve for x
    x = 2,909,978.83/2,438.81
  6. Step 6: Final answer
    x = 1,193.20

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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.