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Finding the Fourth Proportional to 1,977.32, 2,963.28 and 1,155.80

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Solution

The fourth proportional to 1,977.32, 2,963.28 and 1,155.80 is: 1,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.32 : 2,963.28 = 1,155.80 : x
  2. Step 2: Convert to fraction form
    1,977.32/2,963.28 = 1,155.80/x
  3. Step 3: Cross multiply
    1,977.32x = 2,963.28 × 1,155.80
  4. Step 4: Simplify right side
    1,977.32x = 3,424,959.02
  5. Step 5: Solve for x
    x = 3,424,959.02/1,977.32
  6. Step 6: Final answer
    x = 1,732.12

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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.