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Finding the Fourth Proportional to 1,845.81, 2,549.43 and 1,347.66

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Solution

The fourth proportional to 1,845.81, 2,549.43 and 1,347.66 is: 1,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.81 : 2,549.43 = 1,347.66 : x
  2. Step 2: Convert to fraction form
    1,845.81/2,549.43 = 1,347.66/x
  3. Step 3: Cross multiply
    1,845.81x = 2,549.43 × 1,347.66
  4. Step 4: Simplify right side
    1,845.81x = 3,435,764.83
  5. Step 5: Solve for x
    x = 3,435,764.83/1,845.81
  6. Step 6: Final answer
    x = 1,861.39

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Why These Related Problems?

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