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Finding the Fourth Proportional to 1,910.51, 2,636.49 and 1,164.31

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Solution

The fourth proportional to 1,910.51, 2,636.49 and 1,164.31 is: 1,606.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.51 : 2,636.49 = 1,164.31 : x
  2. Step 2: Convert to fraction form
    1,910.51/2,636.49 = 1,164.31/x
  3. Step 3: Cross multiply
    1,910.51x = 2,636.49 × 1,164.31
  4. Step 4: Simplify right side
    1,910.51x = 3,069,691.67
  5. Step 5: Solve for x
    x = 3,069,691.67/1,910.51
  6. Step 6: Final answer
    x = 1,606.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.