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Finding the Fourth Proportional to 2,130.77, 3,197.21 and 1,308.62

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Solution

The fourth proportional to 2,130.77, 3,197.21 and 1,308.62 is: 1,963.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.77 : 3,197.21 = 1,308.62 : x
  2. Step 2: Convert to fraction form
    2,130.77/3,197.21 = 1,308.62/x
  3. Step 3: Cross multiply
    2,130.77x = 3,197.21 × 1,308.62
  4. Step 4: Simplify right side
    2,130.77x = 4,183,934.40
  5. Step 5: Solve for x
    x = 4,183,934.40/2,130.77
  6. Step 6: Final answer
    x = 1,963.58

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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.