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Finding the Fourth Proportional to 1,924.62, 2,883.82 and 1,265.11

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Solution

The fourth proportional to 1,924.62, 2,883.82 and 1,265.11 is: 1,895.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.62 : 2,883.82 = 1,265.11 : x
  2. Step 2: Convert to fraction form
    1,924.62/2,883.82 = 1,265.11/x
  3. Step 3: Cross multiply
    1,924.62x = 2,883.82 × 1,265.11
  4. Step 4: Simplify right side
    1,924.62x = 3,648,349.52
  5. Step 5: Solve for x
    x = 3,648,349.52/1,924.62
  6. Step 6: Final answer
    x = 1,895.62

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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.