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Finding the Fourth Proportional to 2,433.28, 3,650.28 and 1,116.76

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Solution

The fourth proportional to 2,433.28, 3,650.28 and 1,116.76 is: 1,675.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.28 : 3,650.28 = 1,116.76 : x
  2. Step 2: Convert to fraction form
    2,433.28/3,650.28 = 1,116.76/x
  3. Step 3: Cross multiply
    2,433.28x = 3,650.28 × 1,116.76
  4. Step 4: Simplify right side
    2,433.28x = 4,076,486.69
  5. Step 5: Solve for x
    x = 4,076,486.69/2,433.28
  6. Step 6: Final answer
    x = 1,675.31

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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.