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Finding the Fourth Proportional to 2,824.87, 4,236.28 and 975.50

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Solution

The fourth proportional to 2,824.87, 4,236.28 and 975.50 is: 1,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.87 : 4,236.28 = 975.50 : x
  2. Step 2: Convert to fraction form
    2,824.87/4,236.28 = 975.50/x
  3. Step 3: Cross multiply
    2,824.87x = 4,236.28 × 975.50
  4. Step 4: Simplify right side
    2,824.87x = 4,132,491.14
  5. Step 5: Solve for x
    x = 4,132,491.14/2,824.87
  6. Step 6: Final answer
    x = 1,462.90

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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.