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Finding the Fourth Proportional to 2,245.26, 3,368.70 and 947.64

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Solution

The fourth proportional to 2,245.26, 3,368.70 and 947.64 is: 1,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.26 : 3,368.70 = 947.64 : x
  2. Step 2: Convert to fraction form
    2,245.26/3,368.70 = 947.64/x
  3. Step 3: Cross multiply
    2,245.26x = 3,368.70 × 947.64
  4. Step 4: Simplify right side
    2,245.26x = 3,192,314.87
  5. Step 5: Solve for x
    x = 3,192,314.87/2,245.26
  6. Step 6: Final answer
    x = 1,421.80

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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.