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Finding the Fourth Proportional to 1,742.97, 2,615.14 and 768.39

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Solution

The fourth proportional to 1,742.97, 2,615.14 and 768.39 is: 1,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.97 : 2,615.14 = 768.39 : x
  2. Step 2: Convert to fraction form
    1,742.97/2,615.14 = 768.39/x
  3. Step 3: Cross multiply
    1,742.97x = 2,615.14 × 768.39
  4. Step 4: Simplify right side
    1,742.97x = 2,009,447.42
  5. Step 5: Solve for x
    x = 2,009,447.42/1,742.97
  6. Step 6: Final answer
    x = 1,152.89

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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.