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Finding the Fourth Proportional to 2,309.40, 3,464.26 and 665.96

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Solution

The fourth proportional to 2,309.40, 3,464.26 and 665.96 is: 998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.40 : 3,464.26 = 665.96 : x
  2. Step 2: Convert to fraction form
    2,309.40/3,464.26 = 665.96/x
  3. Step 3: Cross multiply
    2,309.40x = 3,464.26 × 665.96
  4. Step 4: Simplify right side
    2,309.40x = 2,307,058.59
  5. Step 5: Solve for x
    x = 2,307,058.59/2,309.40
  6. Step 6: Final answer
    x = 998.99

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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.