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Finding the Fourth Proportional to 1,951.70, 2,924.81 and 1,402.67

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Solution

The fourth proportional to 1,951.70, 2,924.81 and 1,402.67 is: 2,102.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.70 : 2,924.81 = 1,402.67 : x
  2. Step 2: Convert to fraction form
    1,951.70/2,924.81 = 1,402.67/x
  3. Step 3: Cross multiply
    1,951.70x = 2,924.81 × 1,402.67
  4. Step 4: Simplify right side
    1,951.70x = 4,102,532.35
  5. Step 5: Solve for x
    x = 4,102,532.35/1,951.70
  6. Step 6: Final answer
    x = 2,102.04

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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.