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Finding the Fourth Proportional to 2,825.85, 4,236.30 and 975.69

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Solution

The fourth proportional to 2,825.85, 4,236.30 and 975.69 is: 1,462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.85 : 4,236.30 = 975.69 : x
  2. Step 2: Convert to fraction form
    2,825.85/4,236.30 = 975.69/x
  3. Step 3: Cross multiply
    2,825.85x = 4,236.30 × 975.69
  4. Step 4: Simplify right side
    2,825.85x = 4,133,315.55
  5. Step 5: Solve for x
    x = 4,133,315.55/2,825.85
  6. Step 6: Final answer
    x = 1,462.68

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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.