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Finding the Fourth Proportional to 2,798.59, 4,197.90 and 949.72

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Solution

The fourth proportional to 2,798.59, 4,197.90 and 949.72 is: 1,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.59 : 4,197.90 = 949.72 : x
  2. Step 2: Convert to fraction form
    2,798.59/4,197.90 = 949.72/x
  3. Step 3: Cross multiply
    2,798.59x = 4,197.90 × 949.72
  4. Step 4: Simplify right side
    2,798.59x = 3,986,829.59
  5. Step 5: Solve for x
    x = 3,986,829.59/2,798.59
  6. Step 6: Final answer
    x = 1,424.59

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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.