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Finding the Fourth Proportional to 1,416.35, 2,123.84 and 491.96

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Solution

The fourth proportional to 1,416.35, 2,123.84 and 491.96 is: 737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.35 : 2,123.84 = 491.96 : x
  2. Step 2: Convert to fraction form
    1,416.35/2,123.84 = 491.96/x
  3. Step 3: Cross multiply
    1,416.35x = 2,123.84 × 491.96
  4. Step 4: Simplify right side
    1,416.35x = 1,044,850.87
  5. Step 5: Solve for x
    x = 1,044,850.87/1,416.35
  6. Step 6: Final answer
    x = 737.71

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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.