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Finding the Fourth Proportional to 1,934.03, 2,894.47 and 1,194.11

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Solution

The fourth proportional to 1,934.03, 2,894.47 and 1,194.11 is: 1,787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.03 : 2,894.47 = 1,194.11 : x
  2. Step 2: Convert to fraction form
    1,934.03/2,894.47 = 1,194.11/x
  3. Step 3: Cross multiply
    1,934.03x = 2,894.47 × 1,194.11
  4. Step 4: Simplify right side
    1,934.03x = 3,456,308.34
  5. Step 5: Solve for x
    x = 3,456,308.34/1,934.03
  6. Step 6: Final answer
    x = 1,787.10

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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.