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Finding the Fourth Proportional to 2,245.85, 3,100.70 and 1,538.88

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Solution

The fourth proportional to 2,245.85, 3,100.70 and 1,538.88 is: 2,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.85 : 3,100.70 = 1,538.88 : x
  2. Step 2: Convert to fraction form
    2,245.85/3,100.70 = 1,538.88/x
  3. Step 3: Cross multiply
    2,245.85x = 3,100.70 × 1,538.88
  4. Step 4: Simplify right side
    2,245.85x = 4,771,597.52
  5. Step 5: Solve for x
    x = 4,771,597.52/2,245.85
  6. Step 6: Final answer
    x = 2,124.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.