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Finding the Fourth Proportional to 1,155.98, 1,723.96 and 1,100.90

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Solution

The fourth proportional to 1,155.98, 1,723.96 and 1,100.90 is: 1,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.98 : 1,723.96 = 1,100.90 : x
  2. Step 2: Convert to fraction form
    1,155.98/1,723.96 = 1,100.90/x
  3. Step 3: Cross multiply
    1,155.98x = 1,723.96 × 1,100.90
  4. Step 4: Simplify right side
    1,155.98x = 1,897,907.56
  5. Step 5: Solve for x
    x = 1,897,907.56/1,155.98
  6. Step 6: Final answer
    x = 1,641.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.