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Finding the Fourth Proportional to 1,862.34, 2,793.52 and 629.76

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Solution

The fourth proportional to 1,862.34, 2,793.52 and 629.76 is: 944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.34 : 2,793.52 = 629.76 : x
  2. Step 2: Convert to fraction form
    1,862.34/2,793.52 = 629.76/x
  3. Step 3: Cross multiply
    1,862.34x = 2,793.52 × 629.76
  4. Step 4: Simplify right side
    1,862.34x = 1,759,247.16
  5. Step 5: Solve for x
    x = 1,759,247.16/1,862.34
  6. Step 6: Final answer
    x = 944.64

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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.