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Finding the Fourth Proportional to 1,993.42, 2,750.88 and 1,109.19

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Solution

The fourth proportional to 1,993.42, 2,750.88 and 1,109.19 is: 1,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.42 : 2,750.88 = 1,109.19 : x
  2. Step 2: Convert to fraction form
    1,993.42/2,750.88 = 1,109.19/x
  3. Step 3: Cross multiply
    1,993.42x = 2,750.88 × 1,109.19
  4. Step 4: Simplify right side
    1,993.42x = 3,051,248.59
  5. Step 5: Solve for x
    x = 3,051,248.59/1,993.42
  6. Step 6: Final answer
    x = 1,530.66

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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.