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Finding the Fourth Proportional to 1,242.84, 1,861.38 and 1,103.88

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Solution

The fourth proportional to 1,242.84, 1,861.38 and 1,103.88 is: 1,653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.84 : 1,861.38 = 1,103.88 : x
  2. Step 2: Convert to fraction form
    1,242.84/1,861.38 = 1,103.88/x
  3. Step 3: Cross multiply
    1,242.84x = 1,861.38 × 1,103.88
  4. Step 4: Simplify right side
    1,242.84x = 2,054,740.15
  5. Step 5: Solve for x
    x = 2,054,740.15/1,242.84
  6. Step 6: Final answer
    x = 1,653.26

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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.