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Finding the Fourth Proportional to 2,381.83, 3,569.41 and 993.67

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Solution

The fourth proportional to 2,381.83, 3,569.41 and 993.67 is: 1,489.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.83 : 3,569.41 = 993.67 : x
  2. Step 2: Convert to fraction form
    2,381.83/3,569.41 = 993.67/x
  3. Step 3: Cross multiply
    2,381.83x = 3,569.41 × 993.67
  4. Step 4: Simplify right side
    2,381.83x = 3,546,815.63
  5. Step 5: Solve for x
    x = 3,546,815.63/2,381.83
  6. Step 6: Final answer
    x = 1,489.11

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1.5x scale

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.