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Finding the Fourth Proportional to 2,168.85, 2,993 and 1,237.35

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Solution

The fourth proportional to 2,168.85, 2,993 and 1,237.35 is: 1,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.85 : 2,993 = 1,237.35 : x
  2. Step 2: Convert to fraction form
    2,168.85/2,993 = 1,237.35/x
  3. Step 3: Cross multiply
    2,168.85x = 2,993 × 1,237.35
  4. Step 4: Simplify right side
    2,168.85x = 3,703,388.55
  5. Step 5: Solve for x
    x = 3,703,388.55/2,168.85
  6. Step 6: Final answer
    x = 1,707.54

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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.