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Finding the Fourth Proportional to 1,241.76, 1,870.01 and 1,081.38

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Solution

The fourth proportional to 1,241.76, 1,870.01 and 1,081.38 is: 1,628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.76 : 1,870.01 = 1,081.38 : x
  2. Step 2: Convert to fraction form
    1,241.76/1,870.01 = 1,081.38/x
  3. Step 3: Cross multiply
    1,241.76x = 1,870.01 × 1,081.38
  4. Step 4: Simplify right side
    1,241.76x = 2,022,191.41
  5. Step 5: Solve for x
    x = 2,022,191.41/1,241.76
  6. Step 6: Final answer
    x = 1,628.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.