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Finding the Fourth Proportional to 1,435.59, 2,151.56 and 1,406.43

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Solution

The fourth proportional to 1,435.59, 2,151.56 and 1,406.43 is: 2,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.59 : 2,151.56 = 1,406.43 : x
  2. Step 2: Convert to fraction form
    1,435.59/2,151.56 = 1,406.43/x
  3. Step 3: Cross multiply
    1,435.59x = 2,151.56 × 1,406.43
  4. Step 4: Simplify right side
    1,435.59x = 3,026,022.05
  5. Step 5: Solve for x
    x = 3,026,022.05/1,435.59
  6. Step 6: Final answer
    x = 2,107.86

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