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Finding the Fourth Proportional to 2,467.99, 3,407 and 1,459.86

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Solution

The fourth proportional to 2,467.99, 3,407 and 1,459.86 is: 2,015.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.99 : 3,407 = 1,459.86 : x
  2. Step 2: Convert to fraction form
    2,467.99/3,407 = 1,459.86/x
  3. Step 3: Cross multiply
    2,467.99x = 3,407 × 1,459.86
  4. Step 4: Simplify right side
    2,467.99x = 4,973,751.54
  5. Step 5: Solve for x
    x = 4,973,751.54/2,467.99
  6. Step 6: Final answer
    x = 2,015.31

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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.