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Finding the Fourth Proportional to 2,438.07, 3,654.53 and 1,138.47

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Solution

The fourth proportional to 2,438.07, 3,654.53 and 1,138.47 is: 1,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.07 : 3,654.53 = 1,138.47 : x
  2. Step 2: Convert to fraction form
    2,438.07/3,654.53 = 1,138.47/x
  3. Step 3: Cross multiply
    2,438.07x = 3,654.53 × 1,138.47
  4. Step 4: Simplify right side
    2,438.07x = 4,160,567.08
  5. Step 5: Solve for x
    x = 4,160,567.08/2,438.07
  6. Step 6: Final answer
    x = 1,706.50

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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.