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Finding the Fourth Proportional to 1,934.29, 2,894.50 and 1,675.20

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Solution

The fourth proportional to 1,934.29, 2,894.50 and 1,675.20 is: 2,506.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.29 : 2,894.50 = 1,675.20 : x
  2. Step 2: Convert to fraction form
    1,934.29/2,894.50 = 1,675.20/x
  3. Step 3: Cross multiply
    1,934.29x = 2,894.50 × 1,675.20
  4. Step 4: Simplify right side
    1,934.29x = 4,848,866.40
  5. Step 5: Solve for x
    x = 4,848,866.40/1,934.29
  6. Step 6: Final answer
    x = 2,506.79

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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.