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Finding the Fourth Proportional to 1,743.63, 2,406.19 and 946.96

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Solution

The fourth proportional to 1,743.63, 2,406.19 and 946.96 is: 1,306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.63 : 2,406.19 = 946.96 : x
  2. Step 2: Convert to fraction form
    1,743.63/2,406.19 = 946.96/x
  3. Step 3: Cross multiply
    1,743.63x = 2,406.19 × 946.96
  4. Step 4: Simplify right side
    1,743.63x = 2,278,569.87
  5. Step 5: Solve for x
    x = 2,278,569.87/1,743.63
  6. Step 6: Final answer
    x = 1,306.80

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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.