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Finding the Fourth Proportional to 1,965.26, 2,713.70 and 1,755.07

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Solution

The fourth proportional to 1,965.26, 2,713.70 and 1,755.07 is: 2,423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.26 : 2,713.70 = 1,755.07 : x
  2. Step 2: Convert to fraction form
    1,965.26/2,713.70 = 1,755.07/x
  3. Step 3: Cross multiply
    1,965.26x = 2,713.70 × 1,755.07
  4. Step 4: Simplify right side
    1,965.26x = 4,762,731.06
  5. Step 5: Solve for x
    x = 4,762,731.06/1,965.26
  6. Step 6: Final answer
    x = 2,423.46

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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.