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Finding the Fourth Proportional to 1,739.64, 2,609.75 and 862.18

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Solution

The fourth proportional to 1,739.64, 2,609.75 and 862.18 is: 1,293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.64 : 2,609.75 = 862.18 : x
  2. Step 2: Convert to fraction form
    1,739.64/2,609.75 = 862.18/x
  3. Step 3: Cross multiply
    1,739.64x = 2,609.75 × 862.18
  4. Step 4: Simplify right side
    1,739.64x = 2,250,066.68
  5. Step 5: Solve for x
    x = 2,250,066.68/1,739.64
  6. Step 6: Final answer
    x = 1,293.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.