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Finding the Fourth Proportional to 1,423.85, 2,135.78 and 939.07

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Solution

The fourth proportional to 1,423.85, 2,135.78 and 939.07 is: 1,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.85 : 2,135.78 = 939.07 : x
  2. Step 2: Convert to fraction form
    1,423.85/2,135.78 = 939.07/x
  3. Step 3: Cross multiply
    1,423.85x = 2,135.78 × 939.07
  4. Step 4: Simplify right side
    1,423.85x = 2,005,646.92
  5. Step 5: Solve for x
    x = 2,005,646.92/1,423.85
  6. Step 6: Final answer
    x = 1,408.61

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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.