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Finding the Fourth Proportional to 1,941.92, 2,910.32 and 787.04

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Solution

The fourth proportional to 1,941.92, 2,910.32 and 787.04 is: 1,179.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.92 : 2,910.32 = 787.04 : x
  2. Step 2: Convert to fraction form
    1,941.92/2,910.32 = 787.04/x
  3. Step 3: Cross multiply
    1,941.92x = 2,910.32 × 787.04
  4. Step 4: Simplify right side
    1,941.92x = 2,290,538.25
  5. Step 5: Solve for x
    x = 2,290,538.25/1,941.92
  6. Step 6: Final answer
    x = 1,179.52

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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.