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Finding the Fourth Proportional to 2,606.98, 3,910.47 and 659.18

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Solution

The fourth proportional to 2,606.98, 3,910.47 and 659.18 is: 988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.98 : 3,910.47 = 659.18 : x
  2. Step 2: Convert to fraction form
    2,606.98/3,910.47 = 659.18/x
  3. Step 3: Cross multiply
    2,606.98x = 3,910.47 × 659.18
  4. Step 4: Simplify right side
    2,606.98x = 2,577,701.14
  5. Step 5: Solve for x
    x = 2,577,701.14/2,606.98
  6. Step 6: Final answer
    x = 988.77

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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.