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Finding the Fourth Proportional to 1,261.89, 1,882.49 and 1,173.51

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Solution

The fourth proportional to 1,261.89, 1,882.49 and 1,173.51 is: 1,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.89 : 1,882.49 = 1,173.51 : x
  2. Step 2: Convert to fraction form
    1,261.89/1,882.49 = 1,173.51/x
  3. Step 3: Cross multiply
    1,261.89x = 1,882.49 × 1,173.51
  4. Step 4: Simplify right side
    1,261.89x = 2,209,114.97
  5. Step 5: Solve for x
    x = 2,209,114.97/1,261.89
  6. Step 6: Final answer
    x = 1,750.64

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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.