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Finding the Fourth Proportional to 1,426.78, 2,137.33 and 938.35

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Solution

The fourth proportional to 1,426.78, 2,137.33 and 938.35 is: 1,405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.78 : 2,137.33 = 938.35 : x
  2. Step 2: Convert to fraction form
    1,426.78/2,137.33 = 938.35/x
  3. Step 3: Cross multiply
    1,426.78x = 2,137.33 × 938.35
  4. Step 4: Simplify right side
    1,426.78x = 2,005,563.61
  5. Step 5: Solve for x
    x = 2,005,563.61/1,426.78
  6. Step 6: Final answer
    x = 1,405.66

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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.