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Finding the Fourth Proportional to 1,617.40, 2,232.12 and 918.82

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Solution

The fourth proportional to 1,617.40, 2,232.12 and 918.82 is: 1,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.40 : 2,232.12 = 918.82 : x
  2. Step 2: Convert to fraction form
    1,617.40/2,232.12 = 918.82/x
  3. Step 3: Cross multiply
    1,617.40x = 2,232.12 × 918.82
  4. Step 4: Simplify right side
    1,617.40x = 2,050,916.50
  5. Step 5: Solve for x
    x = 2,050,916.50/1,617.40
  6. Step 6: Final answer
    x = 1,268.03

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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.