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Finding the Fourth Proportional to 2,494.81, 3,743.60 and 934.75

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Solution

The fourth proportional to 2,494.81, 3,743.60 and 934.75 is: 1,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.81 : 3,743.60 = 934.75 : x
  2. Step 2: Convert to fraction form
    2,494.81/3,743.60 = 934.75/x
  3. Step 3: Cross multiply
    2,494.81x = 3,743.60 × 934.75
  4. Step 4: Simplify right side
    2,494.81x = 3,499,330.10
  5. Step 5: Solve for x
    x = 3,499,330.10/2,494.81
  6. Step 6: Final answer
    x = 1,402.64

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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.