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Finding the Fourth Proportional to 2,703.89, 4,055.84 and 1,164.89

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Solution

The fourth proportional to 2,703.89, 4,055.84 and 1,164.89 is: 1,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.89 : 4,055.84 = 1,164.89 : x
  2. Step 2: Convert to fraction form
    2,703.89/4,055.84 = 1,164.89/x
  3. Step 3: Cross multiply
    2,703.89x = 4,055.84 × 1,164.89
  4. Step 4: Simplify right side
    2,703.89x = 4,724,601.63
  5. Step 5: Solve for x
    x = 4,724,601.63/2,703.89
  6. Step 6: Final answer
    x = 1,747.34

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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.