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Finding the Fourth Proportional to 4,900.85, 7,349.71 and 1,613.18

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Solution

The fourth proportional to 4,900.85, 7,349.71 and 1,613.18 is: 2,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.85 : 7,349.71 = 1,613.18 : x
  2. Step 2: Convert to fraction form
    4,900.85/7,349.71 = 1,613.18/x
  3. Step 3: Cross multiply
    4,900.85x = 7,349.71 × 1,613.18
  4. Step 4: Simplify right side
    4,900.85x = 11,856,405.18
  5. Step 5: Solve for x
    x = 11,856,405.18/4,900.85
  6. Step 6: Final answer
    x = 2,419.25

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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.