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Finding the Fourth Proportional to 1,916.63, 2,874.94 and 618.10

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Solution

The fourth proportional to 1,916.63, 2,874.94 and 618.10 is: 927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.63 : 2,874.94 = 618.10 : x
  2. Step 2: Convert to fraction form
    1,916.63/2,874.94 = 618.10/x
  3. Step 3: Cross multiply
    1,916.63x = 2,874.94 × 618.10
  4. Step 4: Simplify right side
    1,916.63x = 1,776,991.68
  5. Step 5: Solve for x
    x = 1,776,991.68/1,916.63
  6. Step 6: Final answer
    x = 927.15

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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.