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Finding the Fourth Proportional to 1,606.08, 2,407.68 and 834.24

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Solution

The fourth proportional to 1,606.08, 2,407.68 and 834.24 is: 1,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.08 : 2,407.68 = 834.24 : x
  2. Step 2: Convert to fraction form
    1,606.08/2,407.68 = 834.24/x
  3. Step 3: Cross multiply
    1,606.08x = 2,407.68 × 834.24
  4. Step 4: Simplify right side
    1,606.08x = 2,008,582.96
  5. Step 5: Solve for x
    x = 2,008,582.96/1,606.08
  6. Step 6: Final answer
    x = 1,250.61

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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.