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Finding the Fourth Proportional to 1,661.67, 2,492.84 and 491.69

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Solution

The fourth proportional to 1,661.67, 2,492.84 and 491.69 is: 737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.67 : 2,492.84 = 491.69 : x
  2. Step 2: Convert to fraction form
    1,661.67/2,492.84 = 491.69/x
  3. Step 3: Cross multiply
    1,661.67x = 2,492.84 × 491.69
  4. Step 4: Simplify right side
    1,661.67x = 1,225,708.27
  5. Step 5: Solve for x
    x = 1,225,708.27/1,661.67
  6. Step 6: Final answer
    x = 737.64

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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.