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Finding the Fourth Proportional to 1,922.88, 2,884.50 and 1,158.24

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Solution

The fourth proportional to 1,922.88, 2,884.50 and 1,158.24 is: 1,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.88 : 2,884.50 = 1,158.24 : x
  2. Step 2: Convert to fraction form
    1,922.88/2,884.50 = 1,158.24/x
  3. Step 3: Cross multiply
    1,922.88x = 2,884.50 × 1,158.24
  4. Step 4: Simplify right side
    1,922.88x = 3,340,943.28
  5. Step 5: Solve for x
    x = 3,340,943.28/1,922.88
  6. Step 6: Final answer
    x = 1,737.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.