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Finding the Fourth Proportional to 1,610.67, 2,416.36 and 917.67

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Solution

The fourth proportional to 1,610.67, 2,416.36 and 917.67 is: 1,376.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.67 : 2,416.36 = 917.67 : x
  2. Step 2: Convert to fraction form
    1,610.67/2,416.36 = 917.67/x
  3. Step 3: Cross multiply
    1,610.67x = 2,416.36 × 917.67
  4. Step 4: Simplify right side
    1,610.67x = 2,217,421.08
  5. Step 5: Solve for x
    x = 2,217,421.08/1,610.67
  6. Step 6: Final answer
    x = 1,376.71

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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.