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Finding the Fourth Proportional to 2,744.46, 4,117.10 and 1,012.95

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Solution

The fourth proportional to 2,744.46, 4,117.10 and 1,012.95 is: 1,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.46 : 4,117.10 = 1,012.95 : x
  2. Step 2: Convert to fraction form
    2,744.46/4,117.10 = 1,012.95/x
  3. Step 3: Cross multiply
    2,744.46x = 4,117.10 × 1,012.95
  4. Step 4: Simplify right side
    2,744.46x = 4,170,416.45
  5. Step 5: Solve for x
    x = 4,170,416.45/2,744.46
  6. Step 6: Final answer
    x = 1,519.58

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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.