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Finding the Fourth Proportional to 2,794.19, 4,191.31 and 945.32

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Solution

The fourth proportional to 2,794.19, 4,191.31 and 945.32 is: 1,417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.19 : 4,191.31 = 945.32 : x
  2. Step 2: Convert to fraction form
    2,794.19/4,191.31 = 945.32/x
  3. Step 3: Cross multiply
    2,794.19x = 4,191.31 × 945.32
  4. Step 4: Simplify right side
    2,794.19x = 3,962,108.21
  5. Step 5: Solve for x
    x = 3,962,108.21/2,794.19
  6. Step 6: Final answer
    x = 1,417.98

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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.