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Finding the Fourth Proportional to 2,830.94, 4,248.69 and 1,952.90

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Solution

The fourth proportional to 2,830.94, 4,248.69 and 1,952.90 is: 2,930.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.94 : 4,248.69 = 1,952.90 : x
  2. Step 2: Convert to fraction form
    2,830.94/4,248.69 = 1,952.90/x
  3. Step 3: Cross multiply
    2,830.94x = 4,248.69 × 1,952.90
  4. Step 4: Simplify right side
    2,830.94x = 8,297,266.70
  5. Step 5: Solve for x
    x = 8,297,266.70/2,830.94
  6. Step 6: Final answer
    x = 2,930.92

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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.