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Finding the Fourth Proportional to 1,741.49, 2,612.72 and 741.34

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Solution

The fourth proportional to 1,741.49, 2,612.72 and 741.34 is: 1,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.49 : 2,612.72 = 741.34 : x
  2. Step 2: Convert to fraction form
    1,741.49/2,612.72 = 741.34/x
  3. Step 3: Cross multiply
    1,741.49x = 2,612.72 × 741.34
  4. Step 4: Simplify right side
    1,741.49x = 1,936,918.96
  5. Step 5: Solve for x
    x = 1,936,918.96/1,741.49
  6. Step 6: Final answer
    x = 1,112.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.