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Finding the Fourth Proportional to 1,782.21, 2,671.01 and 1,316.28

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Solution

The fourth proportional to 1,782.21, 2,671.01 and 1,316.28 is: 1,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.21 : 2,671.01 = 1,316.28 : x
  2. Step 2: Convert to fraction form
    1,782.21/2,671.01 = 1,316.28/x
  3. Step 3: Cross multiply
    1,782.21x = 2,671.01 × 1,316.28
  4. Step 4: Simplify right side
    1,782.21x = 3,515,797.04
  5. Step 5: Solve for x
    x = 3,515,797.04/1,782.21
  6. Step 6: Final answer
    x = 1,972.72

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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.