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Finding the Fourth Proportional to 1,671.47, 2,506.28 and 1,327.01

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Solution

The fourth proportional to 1,671.47, 2,506.28 and 1,327.01 is: 1,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.47 : 2,506.28 = 1,327.01 : x
  2. Step 2: Convert to fraction form
    1,671.47/2,506.28 = 1,327.01/x
  3. Step 3: Cross multiply
    1,671.47x = 2,506.28 × 1,327.01
  4. Step 4: Simplify right side
    1,671.47x = 3,325,858.62
  5. Step 5: Solve for x
    x = 3,325,858.62/1,671.47
  6. Step 6: Final answer
    x = 1,989.79

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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.