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Finding the Fourth Proportional to 2,606.70, 3,596.84 and 1,612.30

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Solution

The fourth proportional to 2,606.70, 3,596.84 and 1,612.30 is: 2,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.70 : 3,596.84 = 1,612.30 : x
  2. Step 2: Convert to fraction form
    2,606.70/3,596.84 = 1,612.30/x
  3. Step 3: Cross multiply
    2,606.70x = 3,596.84 × 1,612.30
  4. Step 4: Simplify right side
    2,606.70x = 5,799,185.13
  5. Step 5: Solve for x
    x = 5,799,185.13/2,606.70
  6. Step 6: Final answer
    x = 2,224.72

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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.