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Finding the Fourth Proportional to 1,916.78, 2,874.90 and 684.02

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Solution

The fourth proportional to 1,916.78, 2,874.90 and 684.02 is: 1,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.78 : 2,874.90 = 684.02 : x
  2. Step 2: Convert to fraction form
    1,916.78/2,874.90 = 684.02/x
  3. Step 3: Cross multiply
    1,916.78x = 2,874.90 × 684.02
  4. Step 4: Simplify right side
    1,916.78x = 1,966,489.10
  5. Step 5: Solve for x
    x = 1,966,489.10/1,916.78
  6. Step 6: Final answer
    x = 1,025.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.