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Finding the Fourth Proportional to 1,793.63, 2,475.20 and 1,007.67

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Solution

The fourth proportional to 1,793.63, 2,475.20 and 1,007.67 is: 1,390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.63 : 2,475.20 = 1,007.67 : x
  2. Step 2: Convert to fraction form
    1,793.63/2,475.20 = 1,007.67/x
  3. Step 3: Cross multiply
    1,793.63x = 2,475.20 × 1,007.67
  4. Step 4: Simplify right side
    1,793.63x = 2,494,184.78
  5. Step 5: Solve for x
    x = 2,494,184.78/1,793.63
  6. Step 6: Final answer
    x = 1,390.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.