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Finding the Fourth Proportional to 1,538.73, 2,308.14 and 384.48

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Solution

The fourth proportional to 1,538.73, 2,308.14 and 384.48 is: 576.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.73 : 2,308.14 = 384.48 : x
  2. Step 2: Convert to fraction form
    1,538.73/2,308.14 = 384.48/x
  3. Step 3: Cross multiply
    1,538.73x = 2,308.14 × 384.48
  4. Step 4: Simplify right side
    1,538.73x = 887,433.67
  5. Step 5: Solve for x
    x = 887,433.67/1,538.73
  6. Step 6: Final answer
    x = 576.73

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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.