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Finding the Fourth Proportional to 1,576.78, 2,365.16 and 961.68

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Solution

The fourth proportional to 1,576.78, 2,365.16 and 961.68 is: 1,442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.78 : 2,365.16 = 961.68 : x
  2. Step 2: Convert to fraction form
    1,576.78/2,365.16 = 961.68/x
  3. Step 3: Cross multiply
    1,576.78x = 2,365.16 × 961.68
  4. Step 4: Simplify right side
    1,576.78x = 2,274,527.07
  5. Step 5: Solve for x
    x = 2,274,527.07/1,576.78
  6. Step 6: Final answer
    x = 1,442.51

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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.