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Finding the Fourth Proportional to 1,937.34, 2,903.38 and 1,414.89

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Solution

The fourth proportional to 1,937.34, 2,903.38 and 1,414.89 is: 2,120.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.34 : 2,903.38 = 1,414.89 : x
  2. Step 2: Convert to fraction form
    1,937.34/2,903.38 = 1,414.89/x
  3. Step 3: Cross multiply
    1,937.34x = 2,903.38 × 1,414.89
  4. Step 4: Simplify right side
    1,937.34x = 4,107,959.79
  5. Step 5: Solve for x
    x = 4,107,959.79/1,937.34
  6. Step 6: Final answer
    x = 2,120.41

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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.