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Finding the Fourth Proportional to 2,494.06, 3,740.81 and 645.04

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Solution

The fourth proportional to 2,494.06, 3,740.81 and 645.04 is: 967.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.06 : 3,740.81 = 645.04 : x
  2. Step 2: Convert to fraction form
    2,494.06/3,740.81 = 645.04/x
  3. Step 3: Cross multiply
    2,494.06x = 3,740.81 × 645.04
  4. Step 4: Simplify right side
    2,494.06x = 2,412,954.31
  5. Step 5: Solve for x
    x = 2,412,954.31/2,494.06
  6. Step 6: Final answer
    x = 967.48

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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.