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Finding the Fourth Proportional to 2,494.32, 3,743.10 and 955.32

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Solution

The fourth proportional to 2,494.32, 3,743.10 and 955.32 is: 1,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.32 : 3,743.10 = 955.32 : x
  2. Step 2: Convert to fraction form
    2,494.32/3,743.10 = 955.32/x
  3. Step 3: Cross multiply
    2,494.32x = 3,743.10 × 955.32
  4. Step 4: Simplify right side
    2,494.32x = 3,575,858.29
  5. Step 5: Solve for x
    x = 3,575,858.29/2,494.32
  6. Step 6: Final answer
    x = 1,433.60

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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.