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Finding the Fourth Proportional to 2,752.46, 4,121.64 and 1,518.50

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Solution

The fourth proportional to 2,752.46, 4,121.64 and 1,518.50 is: 2,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.46 : 4,121.64 = 1,518.50 : x
  2. Step 2: Convert to fraction form
    2,752.46/4,121.64 = 1,518.50/x
  3. Step 3: Cross multiply
    2,752.46x = 4,121.64 × 1,518.50
  4. Step 4: Simplify right side
    2,752.46x = 6,258,682.14
  5. Step 5: Solve for x
    x = 6,258,682.14/2,752.46
  6. Step 6: Final answer
    x = 2,273.85

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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.