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Finding the Fourth Proportional to 1,743.98, 2,406.55 and 997.99

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Solution

The fourth proportional to 1,743.98, 2,406.55 and 997.99 is: 1,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.98 : 2,406.55 = 997.99 : x
  2. Step 2: Convert to fraction form
    1,743.98/2,406.55 = 997.99/x
  3. Step 3: Cross multiply
    1,743.98x = 2,406.55 × 997.99
  4. Step 4: Simplify right side
    1,743.98x = 2,401,716.18
  5. Step 5: Solve for x
    x = 2,401,716.18/1,743.98
  6. Step 6: Final answer
    x = 1,377.14

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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.