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Finding the Fourth Proportional to 1,743.62, 2,406.15 and 997.58

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Solution

The fourth proportional to 1,743.62, 2,406.15 and 997.58 is: 1,376.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.62 : 2,406.15 = 997.58 : x
  2. Step 2: Convert to fraction form
    1,743.62/2,406.15 = 997.58/x
  3. Step 3: Cross multiply
    1,743.62x = 2,406.15 × 997.58
  4. Step 4: Simplify right side
    1,743.62x = 2,400,315.09
  5. Step 5: Solve for x
    x = 2,400,315.09/1,743.62
  6. Step 6: Final answer
    x = 1,376.63

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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.