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Finding the Fourth Proportional to 1,241.04, 1,861.90 and 547.86

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Solution

The fourth proportional to 1,241.04, 1,861.90 and 547.86 is: 821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.04 : 1,861.90 = 547.86 : x
  2. Step 2: Convert to fraction form
    1,241.04/1,861.90 = 547.86/x
  3. Step 3: Cross multiply
    1,241.04x = 1,861.90 × 547.86
  4. Step 4: Simplify right side
    1,241.04x = 1,020,059.16
  5. Step 5: Solve for x
    x = 1,020,059.16/1,241.04
  6. Step 6: Final answer
    x = 821.94

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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.