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Finding the Fourth Proportional to 2,245.76, 3,369.48 and 1,014.08

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Solution

The fourth proportional to 2,245.76, 3,369.48 and 1,014.08 is: 1,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.76 : 3,369.48 = 1,014.08 : x
  2. Step 2: Convert to fraction form
    2,245.76/3,369.48 = 1,014.08/x
  3. Step 3: Cross multiply
    2,245.76x = 3,369.48 × 1,014.08
  4. Step 4: Simplify right side
    2,245.76x = 3,416,922.28
  5. Step 5: Solve for x
    x = 3,416,922.28/2,245.76
  6. Step 6: Final answer
    x = 1,521.50

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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.