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Finding the Fourth Proportional to 1,617.02, 2,231.16 and 953.93

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Solution

The fourth proportional to 1,617.02, 2,231.16 and 953.93 is: 1,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.02 : 2,231.16 = 953.93 : x
  2. Step 2: Convert to fraction form
    1,617.02/2,231.16 = 953.93/x
  3. Step 3: Cross multiply
    1,617.02x = 2,231.16 × 953.93
  4. Step 4: Simplify right side
    1,617.02x = 2,128,370.46
  5. Step 5: Solve for x
    x = 2,128,370.46/1,617.02
  6. Step 6: Final answer
    x = 1,316.23

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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.