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Finding the Fourth Proportional to 1,916.06, 2,874.11 and 529.38

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Solution

The fourth proportional to 1,916.06, 2,874.11 and 529.38 is: 794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.06 : 2,874.11 = 529.38 : x
  2. Step 2: Convert to fraction form
    1,916.06/2,874.11 = 529.38/x
  3. Step 3: Cross multiply
    1,916.06x = 2,874.11 × 529.38
  4. Step 4: Simplify right side
    1,916.06x = 1,521,493.70
  5. Step 5: Solve for x
    x = 1,521,493.70/1,916.06
  6. Step 6: Final answer
    x = 794.08

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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.