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Finding the Fourth Proportional to 1,416.69, 2,123.82 and 491.67

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Solution

The fourth proportional to 1,416.69, 2,123.82 and 491.67 is: 737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.69 : 2,123.82 = 491.67 : x
  2. Step 2: Convert to fraction form
    1,416.69/2,123.82 = 491.67/x
  3. Step 3: Cross multiply
    1,416.69x = 2,123.82 × 491.67
  4. Step 4: Simplify right side
    1,416.69x = 1,044,218.58
  5. Step 5: Solve for x
    x = 1,044,218.58/1,416.69
  6. Step 6: Final answer
    x = 737.08

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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.