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Finding the Fourth Proportional to 1,540.58, 2,307.96 and 953.73

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Solution

The fourth proportional to 1,540.58, 2,307.96 and 953.73 is: 1,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.58 : 2,307.96 = 953.73 : x
  2. Step 2: Convert to fraction form
    1,540.58/2,307.96 = 953.73/x
  3. Step 3: Cross multiply
    1,540.58x = 2,307.96 × 953.73
  4. Step 4: Simplify right side
    1,540.58x = 2,201,170.69
  5. Step 5: Solve for x
    x = 2,201,170.69/1,540.58
  6. Step 6: Final answer
    x = 1,428.80

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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.