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Finding the Fourth Proportional to 1,968.13, 2,703.86 and 1,761.05

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Solution

The fourth proportional to 1,968.13, 2,703.86 and 1,761.05 is: 2,419.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.13 : 2,703.86 = 1,761.05 : x
  2. Step 2: Convert to fraction form
    1,968.13/2,703.86 = 1,761.05/x
  3. Step 3: Cross multiply
    1,968.13x = 2,703.86 × 1,761.05
  4. Step 4: Simplify right side
    1,968.13x = 4,761,619.13
  5. Step 5: Solve for x
    x = 4,761,619.13/1,968.13
  6. Step 6: Final answer
    x = 2,419.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.