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Finding the Fourth Proportional to 2,824.56, 4,235.76 and 975.33

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Solution

The fourth proportional to 2,824.56, 4,235.76 and 975.33 is: 1,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.56 : 4,235.76 = 975.33 : x
  2. Step 2: Convert to fraction form
    2,824.56/4,235.76 = 975.33/x
  3. Step 3: Cross multiply
    2,824.56x = 4,235.76 × 975.33
  4. Step 4: Simplify right side
    2,824.56x = 4,131,263.80
  5. Step 5: Solve for x
    x = 4,131,263.80/2,824.56
  6. Step 6: Final answer
    x = 1,462.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.