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Finding the Fourth Proportional to 1,703.93, 2,553.66 and 1,661.00

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Solution

The fourth proportional to 1,703.93, 2,553.66 and 1,661.00 is: 2,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.93 : 2,553.66 = 1,661.00 : x
  2. Step 2: Convert to fraction form
    1,703.93/2,553.66 = 1,661.00/x
  3. Step 3: Cross multiply
    1,703.93x = 2,553.66 × 1,661.00
  4. Step 4: Simplify right side
    1,703.93x = 4,241,616.49
  5. Step 5: Solve for x
    x = 4,241,616.49/1,703.93
  6. Step 6: Final answer
    x = 2,489.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.