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Finding the Fourth Proportional to 2,309.98, 3,463.14 and 1,334.98

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Solution

The fourth proportional to 2,309.98, 3,463.14 and 1,334.98 is: 2,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.98 : 3,463.14 = 1,334.98 : x
  2. Step 2: Convert to fraction form
    2,309.98/3,463.14 = 1,334.98/x
  3. Step 3: Cross multiply
    2,309.98x = 3,463.14 × 1,334.98
  4. Step 4: Simplify right side
    2,309.98x = 4,623,222.64
  5. Step 5: Solve for x
    x = 4,623,222.64/2,309.98
  6. Step 6: Final answer
    x = 2,001.41

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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.