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Finding the Fourth Proportional to 1,617.03, 2,230.94 and 953.78

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Solution

The fourth proportional to 1,617.03, 2,230.94 and 953.78 is: 1,315.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.03 : 2,230.94 = 953.78 : x
  2. Step 2: Convert to fraction form
    1,617.03/2,230.94 = 953.78/x
  3. Step 3: Cross multiply
    1,617.03x = 2,230.94 × 953.78
  4. Step 4: Simplify right side
    1,617.03x = 2,127,817.18
  5. Step 5: Solve for x
    x = 2,127,817.18/1,617.03
  6. Step 6: Final answer
    x = 1,315.88

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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.