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Finding the Fourth Proportional to 1,245.34, 1,861.48 and 1,219.42

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Solution

The fourth proportional to 1,245.34, 1,861.48 and 1,219.42 is: 1,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.34 : 1,861.48 = 1,219.42 : x
  2. Step 2: Convert to fraction form
    1,245.34/1,861.48 = 1,219.42/x
  3. Step 3: Cross multiply
    1,245.34x = 1,861.48 × 1,219.42
  4. Step 4: Simplify right side
    1,245.34x = 2,269,925.94
  5. Step 5: Solve for x
    x = 2,269,925.94/1,245.34
  6. Step 6: Final answer
    x = 1,822.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.