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Finding the Fourth Proportional to 2,359.14, 3,254.94 and 1,650.18

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Solution

The fourth proportional to 2,359.14, 3,254.94 and 1,650.18 is: 2,276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.14 : 3,254.94 = 1,650.18 : x
  2. Step 2: Convert to fraction form
    2,359.14/3,254.94 = 1,650.18/x
  3. Step 3: Cross multiply
    2,359.14x = 3,254.94 × 1,650.18
  4. Step 4: Simplify right side
    2,359.14x = 5,371,236.89
  5. Step 5: Solve for x
    x = 5,371,236.89/2,359.14
  6. Step 6: Final answer
    x = 2,276.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.