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Finding the Fourth Proportional to 4,900.84, 7,348.52 and 1,613.08

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Solution

The fourth proportional to 4,900.84, 7,348.52 and 1,613.08 is: 2,418.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.84 : 7,348.52 = 1,613.08 : x
  2. Step 2: Convert to fraction form
    4,900.84/7,348.52 = 1,613.08/x
  3. Step 3: Cross multiply
    4,900.84x = 7,348.52 × 1,613.08
  4. Step 4: Simplify right side
    4,900.84x = 11,853,750.64
  5. Step 5: Solve for x
    x = 11,853,750.64/4,900.84
  6. Step 6: Final answer
    x = 2,418.72

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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.