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Finding the Fourth Proportional to 1,757.49, 2,637.53 and 833.05

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Solution

The fourth proportional to 1,757.49, 2,637.53 and 833.05 is: 1,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.49 : 2,637.53 = 833.05 : x
  2. Step 2: Convert to fraction form
    1,757.49/2,637.53 = 833.05/x
  3. Step 3: Cross multiply
    1,757.49x = 2,637.53 × 833.05
  4. Step 4: Simplify right side
    1,757.49x = 2,197,177.01
  5. Step 5: Solve for x
    x = 2,197,177.01/1,757.49
  6. Step 6: Final answer
    x = 1,250.18

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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.