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Finding the Fourth Proportional to 2,167.54, 3,245.10 and 1,752.46

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Solution

The fourth proportional to 2,167.54, 3,245.10 and 1,752.46 is: 2,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.54 : 3,245.10 = 1,752.46 : x
  2. Step 2: Convert to fraction form
    2,167.54/3,245.10 = 1,752.46/x
  3. Step 3: Cross multiply
    2,167.54x = 3,245.10 × 1,752.46
  4. Step 4: Simplify right side
    2,167.54x = 5,686,907.95
  5. Step 5: Solve for x
    x = 5,686,907.95/2,167.54
  6. Step 6: Final answer
    x = 2,623.67

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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.