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Finding the Fourth Proportional to 1,873.50, 2,810.58 and 641.04

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Solution

The fourth proportional to 1,873.50, 2,810.58 and 641.04 is: 961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.50 : 2,810.58 = 641.04 : x
  2. Step 2: Convert to fraction form
    1,873.50/2,810.58 = 641.04/x
  3. Step 3: Cross multiply
    1,873.50x = 2,810.58 × 641.04
  4. Step 4: Simplify right side
    1,873.50x = 1,801,694.20
  5. Step 5: Solve for x
    x = 1,801,694.20/1,873.50
  6. Step 6: Final answer
    x = 961.67

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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.