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Finding the Fourth Proportional to 1,451.80, 2,188.81 and 1,435.48

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Solution

The fourth proportional to 1,451.80, 2,188.81 and 1,435.48 is: 2,164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.80 : 2,188.81 = 1,435.48 : x
  2. Step 2: Convert to fraction form
    1,451.80/2,188.81 = 1,435.48/x
  3. Step 3: Cross multiply
    1,451.80x = 2,188.81 × 1,435.48
  4. Step 4: Simplify right side
    1,451.80x = 3,141,992.98
  5. Step 5: Solve for x
    x = 3,141,992.98/1,451.80
  6. Step 6: Final answer
    x = 2,164.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.