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Finding the Fourth Proportional to 1,671.40, 2,305.15 and 1,559.62

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Solution

The fourth proportional to 1,671.40, 2,305.15 and 1,559.62 is: 2,150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.40 : 2,305.15 = 1,559.62 : x
  2. Step 2: Convert to fraction form
    1,671.40/2,305.15 = 1,559.62/x
  3. Step 3: Cross multiply
    1,671.40x = 2,305.15 × 1,559.62
  4. Step 4: Simplify right side
    1,671.40x = 3,595,158.04
  5. Step 5: Solve for x
    x = 3,595,158.04/1,671.40
  6. Step 6: Final answer
    x = 2,150.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.