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Finding the Fourth Proportional to 1,743.68, 2,406.20 and 957.76

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Solution

The fourth proportional to 1,743.68, 2,406.20 and 957.76 is: 1,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.68 : 2,406.20 = 957.76 : x
  2. Step 2: Convert to fraction form
    1,743.68/2,406.20 = 957.76/x
  3. Step 3: Cross multiply
    1,743.68x = 2,406.20 × 957.76
  4. Step 4: Simplify right side
    1,743.68x = 2,304,551.31
  5. Step 5: Solve for x
    x = 2,304,551.31/1,743.68
  6. Step 6: Final answer
    x = 1,321.66

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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.