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Finding the Fourth Proportional to 3,252.95, 4,882.16 and 1,693.50

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Solution

The fourth proportional to 3,252.95, 4,882.16 and 1,693.50 is: 2,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.95 : 4,882.16 = 1,693.50 : x
  2. Step 2: Convert to fraction form
    3,252.95/4,882.16 = 1,693.50/x
  3. Step 3: Cross multiply
    3,252.95x = 4,882.16 × 1,693.50
  4. Step 4: Simplify right side
    3,252.95x = 8,267,942.19
  5. Step 5: Solve for x
    x = 8,267,942.19/3,252.95
  6. Step 6: Final answer
    x = 2,541.67

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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.