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Finding the Fourth Proportional to 1,703.68, 2,553.74 and 1,155.90

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Solution

The fourth proportional to 1,703.68, 2,553.74 and 1,155.90 is: 1,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.68 : 2,553.74 = 1,155.90 : x
  2. Step 2: Convert to fraction form
    1,703.68/2,553.74 = 1,155.90/x
  3. Step 3: Cross multiply
    1,703.68x = 2,553.74 × 1,155.90
  4. Step 4: Simplify right side
    1,703.68x = 2,951,868.07
  5. Step 5: Solve for x
    x = 2,951,868.07/1,703.68
  6. Step 6: Final answer
    x = 1,732.64

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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.