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Finding the Fourth Proportional to 1,553.16, 2,142.75 and 993.51

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Solution

The fourth proportional to 1,553.16, 2,142.75 and 993.51 is: 1,370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.16 : 2,142.75 = 993.51 : x
  2. Step 2: Convert to fraction form
    1,553.16/2,142.75 = 993.51/x
  3. Step 3: Cross multiply
    1,553.16x = 2,142.75 × 993.51
  4. Step 4: Simplify right side
    1,553.16x = 2,128,843.55
  5. Step 5: Solve for x
    x = 2,128,843.55/1,553.16
  6. Step 6: Final answer
    x = 1,370.65

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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.