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Finding the Fourth Proportional to 1,494.79, 2,243.34 and 1,035.79

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Solution

The fourth proportional to 1,494.79, 2,243.34 and 1,035.79 is: 1,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.79 : 2,243.34 = 1,035.79 : x
  2. Step 2: Convert to fraction form
    1,494.79/2,243.34 = 1,035.79/x
  3. Step 3: Cross multiply
    1,494.79x = 2,243.34 × 1,035.79
  4. Step 4: Simplify right side
    1,494.79x = 2,323,629.14
  5. Step 5: Solve for x
    x = 2,323,629.14/1,494.79
  6. Step 6: Final answer
    x = 1,554.49

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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.