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Finding the Fourth Proportional to 2,494.32, 3,741.48 and 955.68

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Solution

The fourth proportional to 2,494.32, 3,741.48 and 955.68 is: 1,433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.32 : 3,741.48 = 955.68 : x
  2. Step 2: Convert to fraction form
    2,494.32/3,741.48 = 955.68/x
  3. Step 3: Cross multiply
    2,494.32x = 3,741.48 × 955.68
  4. Step 4: Simplify right side
    2,494.32x = 3,575,657.61
  5. Step 5: Solve for x
    x = 3,575,657.61/2,494.32
  6. Step 6: Final answer
    x = 1,433.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.