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Finding the Fourth Proportional to 1,743.56, 2,406.13 and 946.90

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Solution

The fourth proportional to 1,743.56, 2,406.13 and 946.90 is: 1,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.56 : 2,406.13 = 946.90 : x
  2. Step 2: Convert to fraction form
    1,743.56/2,406.13 = 946.90/x
  3. Step 3: Cross multiply
    1,743.56x = 2,406.13 × 946.90
  4. Step 4: Simplify right side
    1,743.56x = 2,278,364.50
  5. Step 5: Solve for x
    x = 2,278,364.50/1,743.56
  6. Step 6: Final answer
    x = 1,306.73

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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.