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Finding the Fourth Proportional to 2,494.78, 3,742.14 and 955.78

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Solution

The fourth proportional to 2,494.78, 3,742.14 and 955.78 is: 1,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.78 : 3,742.14 = 955.78 : x
  2. Step 2: Convert to fraction form
    2,494.78/3,742.14 = 955.78/x
  3. Step 3: Cross multiply
    2,494.78x = 3,742.14 × 955.78
  4. Step 4: Simplify right side
    2,494.78x = 3,576,639.08
  5. Step 5: Solve for x
    x = 3,576,639.08/2,494.78
  6. Step 6: Final answer
    x = 1,433.65

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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.