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Finding the Fourth Proportional to 1,993.38, 2,750.91 and 1,109.16

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Solution

The fourth proportional to 1,993.38, 2,750.91 and 1,109.16 is: 1,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.38 : 2,750.91 = 1,109.16 : x
  2. Step 2: Convert to fraction form
    1,993.38/2,750.91 = 1,109.16/x
  3. Step 3: Cross multiply
    1,993.38x = 2,750.91 × 1,109.16
  4. Step 4: Simplify right side
    1,993.38x = 3,051,199.34
  5. Step 5: Solve for x
    x = 3,051,199.34/1,993.38
  6. Step 6: Final answer
    x = 1,530.67

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1.5x scale

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.