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Finding the Fourth Proportional to 1,576.50, 2,364.75 and 892.50

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Solution

The fourth proportional to 1,576.50, 2,364.75 and 892.50 is: 1,338.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.50 : 2,364.75 = 892.50 : x
  2. Step 2: Convert to fraction form
    1,576.50/2,364.75 = 892.50/x
  3. Step 3: Cross multiply
    1,576.50x = 2,364.75 × 892.50
  4. Step 4: Simplify right side
    1,576.50x = 2,110,539.38
  5. Step 5: Solve for x
    x = 2,110,539.38/1,576.50
  6. Step 6: Final answer
    x = 1,338.75

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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.