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Finding the Fourth Proportional to 1,671.16, 2,509.26 and 1,441.84

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Solution

The fourth proportional to 1,671.16, 2,509.26 and 1,441.84 is: 2,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.16 : 2,509.26 = 1,441.84 : x
  2. Step 2: Convert to fraction form
    1,671.16/2,509.26 = 1,441.84/x
  3. Step 3: Cross multiply
    1,671.16x = 2,509.26 × 1,441.84
  4. Step 4: Simplify right side
    1,671.16x = 3,617,951.44
  5. Step 5: Solve for x
    x = 3,617,951.44/1,671.16
  6. Step 6: Final answer
    x = 2,164.93

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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.