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Finding the Fourth Proportional to 4,900.90, 7,349.64 and 1,780.12

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Solution

The fourth proportional to 4,900.90, 7,349.64 and 1,780.12 is: 2,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.90 : 7,349.64 = 1,780.12 : x
  2. Step 2: Convert to fraction form
    4,900.90/7,349.64 = 1,780.12/x
  3. Step 3: Cross multiply
    4,900.90x = 7,349.64 × 1,780.12
  4. Step 4: Simplify right side
    4,900.90x = 13,083,241.16
  5. Step 5: Solve for x
    x = 13,083,241.16/4,900.90
  6. Step 6: Final answer
    x = 2,669.56

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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.