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Finding the Fourth Proportional to 1,404.37, 2,107.70 and 993.90

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Solution

The fourth proportional to 1,404.37, 2,107.70 and 993.90 is: 1,491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.37 : 2,107.70 = 993.90 : x
  2. Step 2: Convert to fraction form
    1,404.37/2,107.70 = 993.90/x
  3. Step 3: Cross multiply
    1,404.37x = 2,107.70 × 993.90
  4. Step 4: Simplify right side
    1,404.37x = 2,094,838.06
  5. Step 5: Solve for x
    x = 2,094,838.06/1,404.37
  6. Step 6: Final answer
    x = 1,491.66

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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.