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Finding the Fourth Proportional to 1,938.10, 2,903.10 and 1,614.10

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Solution

The fourth proportional to 1,938.10, 2,903.10 and 1,614.10 is: 2,417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.10 : 2,903.10 = 1,614.10 : x
  2. Step 2: Convert to fraction form
    1,938.10/2,903.10 = 1,614.10/x
  3. Step 3: Cross multiply
    1,938.10x = 2,903.10 × 1,614.10
  4. Step 4: Simplify right side
    1,938.10x = 4,685,893.71
  5. Step 5: Solve for x
    x = 4,685,893.71/1,938.10
  6. Step 6: Final answer
    x = 2,417.78

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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.