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Finding the Fourth Proportional to 4,784.42, 7,177.23 and 1,496.90

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Solution

The fourth proportional to 4,784.42, 7,177.23 and 1,496.90 is: 2,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.42 : 7,177.23 = 1,496.90 : x
  2. Step 2: Convert to fraction form
    4,784.42/7,177.23 = 1,496.90/x
  3. Step 3: Cross multiply
    4,784.42x = 7,177.23 × 1,496.90
  4. Step 4: Simplify right side
    4,784.42x = 10,743,595.59
  5. Step 5: Solve for x
    x = 10,743,595.59/4,784.42
  6. Step 6: Final answer
    x = 2,245.54

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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.