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Finding the Fourth Proportional to 1,993.09, 2,750.07 and 1,207.18

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Solution

The fourth proportional to 1,993.09, 2,750.07 and 1,207.18 is: 1,665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.09 : 2,750.07 = 1,207.18 : x
  2. Step 2: Convert to fraction form
    1,993.09/2,750.07 = 1,207.18/x
  3. Step 3: Cross multiply
    1,993.09x = 2,750.07 × 1,207.18
  4. Step 4: Simplify right side
    1,993.09x = 3,319,829.50
  5. Step 5: Solve for x
    x = 3,319,829.50/1,993.09
  6. Step 6: Final answer
    x = 1,665.67

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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.