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Finding the Fourth Proportional to 1,576.90, 2,362.54 and 960.29

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Solution

The fourth proportional to 1,576.90, 2,362.54 and 960.29 is: 1,438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.90 : 2,362.54 = 960.29 : x
  2. Step 2: Convert to fraction form
    1,576.90/2,362.54 = 960.29/x
  3. Step 3: Cross multiply
    1,576.90x = 2,362.54 × 960.29
  4. Step 4: Simplify right side
    1,576.90x = 2,268,709.32
  5. Step 5: Solve for x
    x = 2,268,709.32/1,576.90
  6. Step 6: Final answer
    x = 1,438.72

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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.