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Finding the Fourth Proportional to 2,309.40, 3,464.10 and 665.80

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Solution

The fourth proportional to 2,309.40, 3,464.10 and 665.80 is: 998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.40 : 3,464.10 = 665.80 : x
  2. Step 2: Convert to fraction form
    2,309.40/3,464.10 = 665.80/x
  3. Step 3: Cross multiply
    2,309.40x = 3,464.10 × 665.80
  4. Step 4: Simplify right side
    2,309.40x = 2,306,397.78
  5. Step 5: Solve for x
    x = 2,306,397.78/2,309.40
  6. Step 6: Final answer
    x = 998.70

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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.