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Finding the Fourth Proportional to 2,245.86, 3,368.61 and 947.28

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Solution

The fourth proportional to 2,245.86, 3,368.61 and 947.28 is: 1,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.86 : 3,368.61 = 947.28 : x
  2. Step 2: Convert to fraction form
    2,245.86/3,368.61 = 947.28/x
  3. Step 3: Cross multiply
    2,245.86x = 3,368.61 × 947.28
  4. Step 4: Simplify right side
    2,245.86x = 3,191,016.88
  5. Step 5: Solve for x
    x = 3,191,016.88/2,245.86
  6. Step 6: Final answer
    x = 1,420.84

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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.