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Finding the Fourth Proportional to 1,925.80, 2,882.30 and 1,349.80

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Solution

The fourth proportional to 1,925.80, 2,882.30 and 1,349.80 is: 2,020.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.80 : 2,882.30 = 1,349.80 : x
  2. Step 2: Convert to fraction form
    1,925.80/2,882.30 = 1,349.80/x
  3. Step 3: Cross multiply
    1,925.80x = 2,882.30 × 1,349.80
  4. Step 4: Simplify right side
    1,925.80x = 3,890,528.54
  5. Step 5: Solve for x
    x = 3,890,528.54/1,925.80
  6. Step 6: Final answer
    x = 2,020.21

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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.