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Finding the Fourth Proportional to 1,743.48, 2,406.06 and 957.60

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Solution

The fourth proportional to 1,743.48, 2,406.06 and 957.60 is: 1,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.48 : 2,406.06 = 957.60 : x
  2. Step 2: Convert to fraction form
    1,743.48/2,406.06 = 957.60/x
  3. Step 3: Cross multiply
    1,743.48x = 2,406.06 × 957.60
  4. Step 4: Simplify right side
    1,743.48x = 2,304,043.06
  5. Step 5: Solve for x
    x = 2,304,043.06/1,743.48
  6. Step 6: Final answer
    x = 1,321.52

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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.