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Finding the Fourth Proportional to 2,796.32, 4,191.54 and 945.68

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Solution

The fourth proportional to 2,796.32, 4,191.54 and 945.68 is: 1,417.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.32 : 4,191.54 = 945.68 : x
  2. Step 2: Convert to fraction form
    2,796.32/4,191.54 = 945.68/x
  3. Step 3: Cross multiply
    2,796.32x = 4,191.54 × 945.68
  4. Step 4: Simplify right side
    2,796.32x = 3,963,855.55
  5. Step 5: Solve for x
    x = 3,963,855.55/2,796.32
  6. Step 6: Final answer
    x = 1,417.53

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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.