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Finding the Fourth Proportional to 2,494.76, 3,743.76 and 955.76

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Solution

The fourth proportional to 2,494.76, 3,743.76 and 955.76 is: 1,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.76 : 3,743.76 = 955.76 : x
  2. Step 2: Convert to fraction form
    2,494.76/3,743.76 = 955.76/x
  3. Step 3: Cross multiply
    2,494.76x = 3,743.76 × 955.76
  4. Step 4: Simplify right side
    2,494.76x = 3,578,136.06
  5. Step 5: Solve for x
    x = 3,578,136.06/2,494.76
  6. Step 6: Final answer
    x = 1,434.26

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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.