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Finding the Fourth Proportional to 1,916.45, 2,874.56 and 617.82

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Solution

The fourth proportional to 1,916.45, 2,874.56 and 617.82 is: 926.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.45 : 2,874.56 = 617.82 : x
  2. Step 2: Convert to fraction form
    1,916.45/2,874.56 = 617.82/x
  3. Step 3: Cross multiply
    1,916.45x = 2,874.56 × 617.82
  4. Step 4: Simplify right side
    1,916.45x = 1,775,957.57
  5. Step 5: Solve for x
    x = 1,775,957.57/1,916.45
  6. Step 6: Final answer
    x = 926.69

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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.