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Finding the Fourth Proportional to 2,495.07, 3,744.90 and 1,179.50

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Solution

The fourth proportional to 2,495.07, 3,744.90 and 1,179.50 is: 1,770.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.07 : 3,744.90 = 1,179.50 : x
  2. Step 2: Convert to fraction form
    2,495.07/3,744.90 = 1,179.50/x
  3. Step 3: Cross multiply
    2,495.07x = 3,744.90 × 1,179.50
  4. Step 4: Simplify right side
    2,495.07x = 4,417,090.83
  5. Step 5: Solve for x
    x = 4,417,090.83/2,495.07
  6. Step 6: Final answer
    x = 1,770.33

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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.